topics-in-cohomological-studies-of-algebraic-varieties

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Topics in Cohomological Studies of Algebraic Varieties

Author : Piotr Pragacz
Publisher : Springer Science & Business Media
ISBN 13 : 3764373423
Total Pages : 321 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Topics in Cohomological Studies of Algebraic Varieties by : Piotr Pragacz

Download or read book Topics in Cohomological Studies of Algebraic Varieties written by Piotr Pragacz and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume study various cohomological aspects of algebraic varieties: - characteristic classes of singular varieties; - geometry of flag varieties; - cohomological computations for homogeneous spaces; - K-theory of algebraic varieties; - quantum cohomology and Gromov-Witten theory. The main purpose is to give comprehensive introductions to the above topics through a series of "friendly" texts starting from a very elementary level and ending with the discussion of current research. In the articles, the reader will find classical results and methods as well as new ones. Numerous examples will help to understand the mysteries of the cohomological theories presented. The book will be a useful guide to research in the above-mentioned areas. It is adressed to researchers and graduate students in algebraic geometry, algebraic topology, and singularity theory, as well as to mathematicians interested in homogeneous varieties and symmetric functions. Most of the material exposed in the volume has not appeared in books before. Contributors: Paolo Aluffi Michel Brion Anders Skovsted Buch Haibao Duan Ali Ulas Ozgur Kisisel Piotr Pragacz Jörg Schürmann Marek Szyjewski Harry Tamvakis

Algebraic Geometry II

Author : I.R. Shafarevich
Publisher : Springer Science & Business Media
ISBN 13 : 3642609252
Total Pages : 270 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Algebraic Geometry II by : I.R. Shafarevich

Download or read book Algebraic Geometry II written by I.R. Shafarevich and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-part volume contains numerous examples and insights on various topics. The authors have taken pains to present the material rigorously and coherently. This book will be immensely useful to mathematicians and graduate students working in algebraic geometry, arithmetic algebraic geometry, complex analysis and related fields.

Topics in Cohomological Studies of Algebraic Varieties

Author : Piotr Pragacz
Publisher :
ISBN 13 : 9780817672140
Total Pages : 297 pages
Book Rating : 4.6/5 (721 download)

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Book Synopsis Topics in Cohomological Studies of Algebraic Varieties by : Piotr Pragacz

Download or read book Topics in Cohomological Studies of Algebraic Varieties written by Piotr Pragacz and published by . This book was released on 2005 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume study various cohomological aspects of algebraic varieties:- characteristic classes of singular varieties;- geometry of flag varieties;- cohomological computations for homogeneous spaces;- K-theory of algebraic varieties;- quantum cohomology and Gromov-Witten theory. The main purpose is to give comprehensive introductions to the above topics through a series of "friendly" texts starting from a very elementary level and ending with the discussion of current research. In the articles, the reader will find classical results and methods as well as new ones. Num.

Cohomological and Geometric Approaches to Rationality Problems

Author : Fedor Bogomolov
Publisher : Springer Science & Business Media
ISBN 13 : 0817649344
Total Pages : 314 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Cohomological and Geometric Approaches to Rationality Problems by : Fedor Bogomolov

Download or read book Cohomological and Geometric Approaches to Rationality Problems written by Fedor Bogomolov and published by Springer Science & Business Media. This book was released on 2009-11-03 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of characteristic zero. Such advances has led to many interdisciplinary applications to algebraic geometry. This comprehensive book consists of surveys of research papers by leading specialists in the field and gives indications for future research in rationality problems. Topics discussed include the rationality of quotient spaces, cohomological invariants of quasi-simple Lie type groups, rationality of the moduli space of curves, and rational points on algebraic varieties. This volume is intended for researchers, mathematicians, and graduate students interested in algebraic geometry, and specifically in rationality problems. Contributors: F. Bogomolov; T. Petrov; Y. Tschinkel; Ch. Böhning; G. Catanese; I. Cheltsov; J. Park; N. Hoffmann; S. J. Hu; M. C. Kang; L. Katzarkov; Y. Prokhorov; A. Pukhlikov

Algebraic Geometry II

Author : I.R. Shafarevich
Publisher : Springer
ISBN 13 : 9783642609268
Total Pages : 264 pages
Book Rating : 4.6/5 (92 download)

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Book Synopsis Algebraic Geometry II by : I.R. Shafarevich

Download or read book Algebraic Geometry II written by I.R. Shafarevich and published by Springer. This book was released on 2014-10-05 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-part volume contains numerous examples and insights on various topics. The authors have taken pains to present the material rigorously and coherently. This book will be immensely useful to mathematicians and graduate students working in algebraic geometry, arithmetic algebraic geometry, complex analysis and related fields.

Facets of Algebraic Geometry

Author : Paolo Aluffi
Publisher : Cambridge University Press
ISBN 13 : 1108792502
Total Pages : 417 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Facets of Algebraic Geometry by : Paolo Aluffi

Download or read book Facets of Algebraic Geometry written by Paolo Aluffi and published by Cambridge University Press. This book was released on 2022-04-07 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.

Combinatorial Algebraic Geometry

Author : Aldo Conca
Publisher : Springer
ISBN 13 : 3319048708
Total Pages : 239 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Combinatorial Algebraic Geometry by : Aldo Conca

Download or read book Combinatorial Algebraic Geometry written by Aldo Conca and published by Springer. This book was released on 2014-05-15 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interactions include invariant theory, theta functions and enumerative geometry. The aim of this volume is to introduce recent developments in combinatorial algebraic geometry and to approach algebraic geometry with a view towards applications, such as tensor calculus and algebraic statistics. A common theme is the study of algebraic varieties endowed with a rich combinatorial structure. Relevant techniques include polyhedral geometry, free resolutions, multilinear algebra, projective duality and compactifications.

Algebraic Geometry

Author : Elena Rubei
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110316234
Total Pages : 239 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Algebraic Geometry by : Elena Rubei

Download or read book Algebraic Geometry written by Elena Rubei and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-05-27 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic geometry is one of the most classic subjects of university research in mathematics. It has a very complicated language that makes life very difficult for beginners. This book is a little dictionary of algebraic geometry: for every of the most common words in algebraic geometry, it contains its definition, several references and the statements of the main theorems about that term (without their proofs). Also some terms of other subjects, close to algebraic geometry, have been included. It was born to help beginners that know some basic facts of algebraic geometry, but not every basic fact, to follow seminars and to read papers, by providing them with basic definitions and statements. The form of a dictionary makes it very easy and quick to consult.

Contributions to Algebraic Geometry

Author : Piotr Pragacz
Publisher : European Mathematical Society
ISBN 13 : 9783037191149
Total Pages : 520 pages
Book Rating : 4.1/5 (911 download)

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Book Synopsis Contributions to Algebraic Geometry by : Piotr Pragacz

Download or read book Contributions to Algebraic Geometry written by Piotr Pragacz and published by European Mathematical Society. This book was released on 2012 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are the outcome of the Impanga Conference on Algebraic Geometry in 2010 at the Banach Center in Bedlewo. The following spectrum of topics is covered: K3 surfaces and Enriques surfaces Prym varieties and their moduli invariants of singularities in birational geometry differential forms on singular spaces Minimal Model Program linear systems toric varieties Seshadri and packing constants equivariant cohomology Thom polynomials arithmetic questions The main purpose of the volume is to give comprehensive introductions to the above topics, starting from an elementary level and ending with a discussion of current research. The first four topics are represented by the notes from the mini courses held during the conference. In the articles, the reader will find classical results and methods, as well as modern ones. This book is addressed to researchers and graduate students in algebraic geometry, singularity theory, and algebraic topology. Most of the material in this volume has not yet appeared in book form.

Low Dimensional Physics and Gauge Principles

Author : V. G. Gurzadyan
Publisher : World Scientific
ISBN 13 : 9814440337
Total Pages : 306 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Low Dimensional Physics and Gauge Principles by : V. G. Gurzadyan

Download or read book Low Dimensional Physics and Gauge Principles written by V. G. Gurzadyan and published by World Scientific. This book was released on 2012-11-07 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Concise Introduction to Algebraic Varieties

Author : Brian Osserman
Publisher : American Mathematical Society
ISBN 13 : 1470466651
Total Pages : 259 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Concise Introduction to Algebraic Varieties by : Brian Osserman

Download or read book A Concise Introduction to Algebraic Varieties written by Brian Osserman and published by American Mathematical Society. This book was released on 2021-12-06 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Around Langlands Correspondences

Author : Farrell Brumley
Publisher : American Mathematical Soc.
ISBN 13 : 147043573X
Total Pages : 376 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Around Langlands Correspondences by : Farrell Brumley

Download or read book Around Langlands Correspondences written by Farrell Brumley and published by American Mathematical Soc.. This book was released on 2017 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the international conference ``Around Langlands Correspondences'', held from June 17-20, 2015, at Universite Paris Sud in Orsay, France. The Langlands correspondence (nowadays called the usual Langlands correspondence), conjectured by Robert Langlands in the late 1960s and early 1970s, has recently seen some new mysterious generalizations: the modular Langlands correspondence, the $p$-adic Langlands correspondence, and the geometric Langlands correspondence, the last of which seems to share deep connections with the Baum-Connes conjecture. The aim of this volume is to present, through a mix of research and expository articles, some of the fascinating new directions in number theory and representation theory arising from recent developments in the Langlands program. Special emphasis is placed on nonclassical versions of the conjectural Langlands correspondences, where the underlying field is no longer the complex numbers.

Algebraic And Geometric Combinatorics On Lattice Polytopes - Proceedings Of The Summer Workshop On Lattice Polytopes

Author : Hibi Takayuki
Publisher : World Scientific
ISBN 13 : 9811200491
Total Pages : 476 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Algebraic And Geometric Combinatorics On Lattice Polytopes - Proceedings Of The Summer Workshop On Lattice Polytopes by : Hibi Takayuki

Download or read book Algebraic And Geometric Combinatorics On Lattice Polytopes - Proceedings Of The Summer Workshop On Lattice Polytopes written by Hibi Takayuki and published by World Scientific. This book was released on 2019-05-30 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of research papers and expository survey articles presented by the invited speakers of the Summer Workshop on Lattice Polytopes. Topics include enumerative, algebraic and geometric combinatorics on lattice polytopes, topological combinatorics, commutative algebra and toric varieties.Readers will find that this volume showcases current trends on lattice polytopes and stimulates further developments of many research areas surrounding this field. With the survey articles, research papers and open problems, this volume provides its fundamental materials for graduate students to learn and researchers to find exciting activities and avenues for further exploration on lattice polytopes.

Handbook of Geometry and Topology of Singularities III

Author : José Luis Cisneros-Molina
Publisher : Springer Nature
ISBN 13 : 3030957608
Total Pages : 822 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Handbook of Geometry and Topology of Singularities III by : José Luis Cisneros-Molina

Download or read book Handbook of Geometry and Topology of Singularities III written by José Luis Cisneros-Molina and published by Springer Nature. This book was released on 2022-06-06 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research. This volume consists of ten chapters which provide an in-depth and reader-friendly survey of various important aspects of singularity theory. Some of these complement topics previously explored in volumes I and II, such as, for instance, Zariski’s equisingularity, the interplay between isolated complex surface singularities and 3-manifold theory, stratified Morse theory, constructible sheaves, the topology of the non-critical levels of holomorphic functions, and intersection cohomology. Other chapters bring in new subjects, such as the Thom–Mather theory for maps, characteristic classes for singular varieties, mixed Hodge structures, residues in complex analytic varieties, nearby and vanishing cycles, and more. Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject, and in other subjects. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.

Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory

Author : Gebhard Böckle
Publisher : Springer
ISBN 13 : 3319705660
Total Pages : 753 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory by : Gebhard Böckle

Download or read book Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory written by Gebhard Böckle and published by Springer. This book was released on 2018-03-22 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved. The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems. It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory.

De Rham Cohomology of Differential Modules on Algebraic Varieties

Author : Yves André
Publisher : Springer Nature
ISBN 13 : 303039719X
Total Pages : 241 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis De Rham Cohomology of Differential Modules on Algebraic Varieties by : Yves André

Download or read book De Rham Cohomology of Differential Modules on Algebraic Varieties written by Yves André and published by Springer Nature. This book was released on 2020-07-16 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: "...A nice feature of the book [is] that at various points the authors provide examples, or rather counterexamples, that clearly show what can go wrong...This is a nicely-written book [that] studies algebraic differential modules in several variables." --Mathematical Reviews

Representations of Algebras

Author : Graham J. Leuschke
Publisher : American Mathematical Soc.
ISBN 13 : 1470435764
Total Pages : 296 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Representations of Algebras by : Graham J. Leuschke

Download or read book Representations of Algebras written by Graham J. Leuschke and published by American Mathematical Soc.. This book was released on 2018 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 17th Workshop and International Conference on Representations of Algebras (ICRA 2016), held from August 10-19, 2016, at Syracuse University, Syracuse, NY. Included are three survey articles based on short courses in the areas of commutative algebraic groups, modular group representation theory, and thick tensor ideals of bounded derived categories. Other articles represent contributions to areas in and related to representation theory, such as noncommutative resolutions, twisted commutative algebras, and upper cluster algebras.