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Author : Marco Andreatta
Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.F/5 ( download)
Download or read book Morphisms of Projective Varieties from the Viewpoint of Minimal Model Theory written by Marco Andreatta and published by . This book was released on 2003 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yujiro Kawamata
Publisher : Cambridge University Press
ISBN 13 : 1009344676
Total Pages : 263 pages
Book Rating : 4.0/5 (93 download)
Download or read book Algebraic Varieties: Minimal Models and Finite Generation written by Yujiro Kawamata and published by Cambridge University Press. This book was released on 2024-06-30 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite generation theorem is a major achievement of modern algebraic geometry. Based on the minimal model theory, it states that the canonical ring of an algebraic variety defined over a field of characteristic zero is a finitely generated graded ring. This graduate-level text is the first to explain this proof. It covers the progress on the minimal model theory over the last 30 years, culminating in the landmark paper on finite generation by Birkar-Cascini-Hacon-McKernan. Building up to this proof, the author presents important results and techniques that are now part of the standard toolbox of birational geometry, including Mori's bend and break method, vanishing theorems, positivity theorems and Siu's analysis on multiplier ideal sheaves. Assuming only the basics in algebraic geometry, the text keeps prerequisites to a minimum with self-contained explanations of terminology and theorems.
Author :
Publisher :
ISBN 13 :
Total Pages : 468 pages
Book Rating : 4.:/5 (318 download)
Download or read book Acta Arithmetica written by and published by . This book was released on 2003 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.3/5 (91 download)
Download or read book Dissertationes Mathematicae written by and published by . This book was released on 2007 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bjorn Poonen
Publisher : American Mathematical Soc.
ISBN 13 : 1470437732
Total Pages : 358 pages
Book Rating : 4.4/5 (74 download)
Download or read book Rational Points on Varieties written by Bjorn Poonen and published by American Mathematical Soc.. This book was released on 2017-12-13 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools essential for current research in algebraic geometry and number theory. The book is unconventional in that it provides concise accounts of many topics instead of a comprehensive account of just one—this is intentionally designed to bring readers up to speed rapidly. Among the topics included are Brauer groups, faithfully flat descent, algebraic groups, torsors, étale and fppf cohomology, the Weil conjectures, and the Brauer-Manin and descent obstructions. A final chapter applies all these to study the arithmetic of surfaces. The down-to-earth explanations and the over 100 exercises make the book suitable for use as a graduate-level textbook, but even experts will appreciate having a single source covering many aspects of geometry over an unrestricted ground field and containing some material that cannot be found elsewhere.
Author : Thomas Peternell
Publisher : Birkhäuser
ISBN 13 : 3034888937
Total Pages : 221 pages
Book Rating : 4.0/5 (348 download)
Download or read book Geometry of Higher Dimensional Algebraic Varieties written by Thomas Peternell and published by Birkhäuser. This book was released on 2012-12-06 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, 1995. It gives an introduction to the classification theory and geometry of higher dimensional complex-algebraic varieties, focusing on the tremendeous developments of the sub ject in the last 20 years. The work is in two parts, with each one preceeded by an introduction describing its contents in detail. Here, it will suffice to simply ex plain how the subject matter has been divided. Cum grano salis one might say that Part 1 (Miyaoka) is more concerned with the algebraic methods and Part 2 (Peternell) with the more analytic aspects though they have unavoidable overlaps because there is no clearcut distinction between the two methods. Specifically, Part 1 treats the deformation theory, existence and geometry of rational curves via characteristic p, while Part 2 is principally concerned with vanishing theorems and their geometric applications. Part I Geometry of Rational Curves on Varieties Yoichi Miyaoka RIMS Kyoto University 606-01 Kyoto Japan Introduction: Why Rational Curves? This note is based on a series of lectures given at the Mathematisches Forschungsin stitut at Oberwolfach, Germany, as a part of the DMV seminar "Mori Theory". The construction of minimal models was discussed by T.
Author : José Luis Cisneros-Molina
Publisher : Springer Nature
ISBN 13 : 3030957608
Total Pages : 822 pages
Book Rating : 4.0/5 (39 download)
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.
Author : David Marker
Publisher : Cambridge University Press
ISBN 13 : 1316739325
Total Pages : 166 pages
Book Rating : 4.3/5 (167 download)
Download or read book Model Theory of Fields written by David Marker and published by Cambridge University Press. This book was released on 2017-03-02 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the fifth publication in the Lecture Notes in Logic series, the authors give an insightful introduction to the fascinating subject of the model theory of fields, concentrating on its connections to stability theory. In the first two chapters David Marker gives an overview of the model theory of algebraically closed, real closed and differential fields. In the third chapter Anand Pillay gives a proof that there are 2א non-isomorphic countable differential closed fields. Finally, Margit Messmer gives a survey of the model theory of separably closed fields of characteristic p > 0.
Author : Janos Kollar
Publisher : Springer Science & Business Media
ISBN 13 : 3662032767
Total Pages : 330 pages
Book Rating : 4.6/5 (62 download)
Download or read book Rational Curves on Algebraic Varieties written by Janos Kollar and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide an introduction to the structure theory of higher dimensional algebraic varieties by studying the geometry of curves, especially rational curves, on varieties. The main applications are in the study of Fano varieties and of related varieties with lots of rational curves on them. This Ergebnisse volume provides the first systematic introduction to this field of study. The book contains a large number of examples and exercises which serve to illustrate the range of the methods and also lead to many open questions of current research.
Author : Yukinobu Toda
Publisher : Springer Nature
ISBN 13 : 3031617053
Total Pages : 318 pages
Book Rating : 4.0/5 (316 download)
Download or read book Categorical Donaldson-Thomas Theory for Local Surfaces written by Yukinobu Toda and published by Springer Nature. This book was released on with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christopher D. Hacon
Publisher : Cambridge University Press
ISBN 13 : 110764755X
Total Pages : 451 pages
Book Rating : 4.1/5 (76 download)
Download or read book Recent Advances in Algebraic Geometry written by Christopher D. Hacon and published by Cambridge University Press. This book was released on 2015-01-15 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.
Author : Ravi Vakil
Publisher : American Mathematical Soc.
ISBN 13 : 0821837192
Total Pages : 202 pages
Book Rating : 4.8/5 (218 download)
Download or read book Snowbird Lectures in Algebraic Geometry written by Ravi Vakil and published by American Mathematical Soc.. This book was released on 2005 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: A significant part of the 2004 Summer Research Conference on Algebraic Geometry (Snowbird, UT) was devoted to lectures introducing the participants, in particular, graduate students and recent Ph.D.'s, to a wide swathe of algebraic geometry and giving them a working familiarity with exciting, rapidly developing parts of the field. One of the main goals of the organizers was to allow the participants to broaden their horizons beyond the narrow area in which they are working. A fine selection of topics and a noteworthy list of contributors made the resulting collection of articles a useful resource for everyone interested in getting acquainted with the modern topic of algebraic geometry. The book consists of ten articles covering, among others, the following topics: the minimal model program, derived categories of sheaves on algebraic varieties, Kobayashi hyperbolicity, groupoids and quotients in algebraic geometry, rigid analytic varieties, and equivariant cohomology. Suitable for independent study, this unique volume is intended for graduate students and researchers interested in algebraic geometry.
Author :
Publisher :
ISBN 13 :
Total Pages : 318 pages
Book Rating : 4.3/5 (91 download)
Download or read book Annales Polonici Mathematici written by and published by . This book was released on 2003 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matatyahu Rubin
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.0/5 ( download)
Download or read book Reconstruction of Manifolds and Subsets of Normed Spaces from Subgroups of Their Homeomorphism Groups written by Matatyahu Rubin and published by . This book was released on 2005 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ralph Kummetz
Publisher :
ISBN 13 :
Total Pages : 158 pages
Book Rating : 4.F/5 ( download)
Download or read book Partially Ordered Sets with Projections and Their Topology written by Ralph Kummetz and published by . This book was released on 2004 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Spencer Bloch
Publisher : American Mathematical Soc.
ISBN 13 : 0821814761
Total Pages : 489 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Geometry written by Spencer Bloch and published by American Mathematical Soc.. This book was released on 1987 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.F/5 ( download)
Download or read book Number Theory, Algebra, and Algebraic Geometry written by and published by . This book was released on 1995 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers and articles on number theory, algebra, and algebraic geometry.
