Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Derived Categories Of Twisted Sheaves On Calabi Yau Manifolds full books in PDF, epub, and Kindle. Read online Derived Categories Of Twisted Sheaves On Calabi Yau Manifolds ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Andrei Horia Căldăraru
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.E/5 ( download)
Download or read book Derived Categories of Twisted Sheaves on Calabi-Yau Manifolds written by Andrei Horia Căldăraru and published by . This book was released on 2000 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Huybrechts
Publisher : Cambridge University Press
ISBN 13 : 1139485822
Total Pages : 345 pages
Book Rating : 4.1/5 (394 download)
Download or read book The Geometry of Moduli Spaces of Sheaves written by Daniel Huybrechts and published by Cambridge University Press. This book was released on 2010-05-27 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.
Author : Dan Abramovich
Publisher : American Mathematical Soc.
ISBN 13 : 0821847023
Total Pages : 506 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Geometry written by Dan Abramovich and published by American Mathematical Soc.. This book was released on 2009 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains research and expository papers by some of the speakers at the 2005 AMS Summer Institute on Algebraic Geometry. Numerous papers delve into the geometry of various moduli spaces, including those of stable curves, stable maps, coherent sheaves, and abelian varieties.
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 : Daniel Huybrechts
Publisher : Clarendon Press
ISBN 13 : 019151635X
Total Pages : 316 pages
Book Rating : 4.1/5 (915 download)
Download or read book Fourier-Mukai Transforms in Algebraic Geometry written by Daniel Huybrechts and published by Clarendon Press. This book was released on 2006-04-20 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This seminal text on Fourier-Mukai Transforms in Algebraic Geometry by a leading researcher and expositor is based on a course given at the Institut de Mathematiques de Jussieu in 2004 and 2005. Aimed at postgraduate students with a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. Including notions from other areas, e.g. singular cohomology, Hodge theory, abelian varieties, K3 surfaces; full proofs are given and exercises aid the reader throughout.
Author : Asher Auel
Publisher : Birkhäuser
ISBN 13 : 3319468529
Total Pages : 251 pages
Book Rating : 4.3/5 (194 download)
Download or read book Brauer Groups and Obstruction Problems written by Asher Auel and published by Birkhäuser. This book was released on 2017-03-02 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g., isogenies among curves, torsion points, modular curves, and the resulting descent techniques, as well as higher-dimensional varieties like K3 surfaces. Inspired by the rapid recent advances in our understanding of K3 surfaces, the book is intended to foster cross-pollination between the fields of complex algebraic geometry and number theory. Contributors: · Nicolas Addington · Benjamin Antieau · Kenneth Ascher · Asher Auel · Fedor Bogomolov · Jean-Louis Colliot-Thélène · Krishna Dasaratha · Brendan Hassett · Colin Ingalls · Martí Lahoz · Emanuele Macrì · Kelly McKinnie · Andrew Obus · Ekin Ozman · Raman Parimala · Alexander Perry · Alena Pirutka · Justin Sawon · Alexei N. Skorobogatov · Paolo Stellari · Sho Tanimoto · Hugh Thomas · Yuri Tschinkel · Anthony Várilly-Alvarado · Bianca Viray · Rong Zhou
Author : Ron Donagi
Publisher : American Mathematical Soc.
ISBN 13 : 0821840924
Total Pages : 104 pages
Book Rating : 4.8/5 (218 download)
Download or read book Torus Fibrations, Gerbes, and Duality written by Ron Donagi and published by American Mathematical Soc.. This book was released on 2008 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $X$ be a smooth elliptic fibration over a smooth base $B$. Under mild assumptions, the authors establish a Fourier-Mukai equivalence between the derived categories of two objects, each of which is an $\mathcal{O} DEGREES{\times}$ gerbe over a genus one fibration which is a twisted form
Author : Ciro Ciliberto
Publisher : Springer Science & Business Media
ISBN 13 : 9401010110
Total Pages : 343 pages
Book Rating : 4.4/5 (1 download)
Download or read book Applications of Algebraic Geometry to Coding Theory, Physics and Computation written by Ciro Ciliberto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date report on the current status of important research topics in algebraic geometry and its applications, such as computational algebra and geometry, singularity theory algorithms, numerical solutions of polynomial systems, coding theory, communication networks, and computer vision. Contributions on more fundamental aspects of algebraic geometry include expositions related to counting points on varieties over finite fields, Mori theory, linear systems, Abelian varieties, vector bundles on singular curves, degenerations of surfaces, and mirror symmetry of Calabi-Yau manifolds.
Author : Jacques Hurtubise
Publisher : American Mathematical Soc.
ISBN 13 : 0821835688
Total Pages : 266 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Structures and Moduli Spaces written by Jacques Hurtubise and published by American Mathematical Soc.. This book was released on 2004 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains recent and exciting developments on the structure of moduli spaces, with an emphasis on the algebraic structures that underlie this structure. Topics covered include Hilbert schemes of points, moduli of instantons, coherent sheaves and their derived categories, moduli of flat connections, Hodge structures, and the topology of affine varieties. Two beautiful series of lectures are a particularly fine feature of the book. One is an introductory series by Manfred Lehn on the topology and geometry of Hilbert schemes of points on surfaces, and the other, by Hiraku Nakajima and Kota Yoshioka, explains their recent work on the moduli space of instantons over ${\mathbb R 4$. The material is suitable for graduate students and researchers interested in moduli spaces in algebraic geometry, topology, and mathematical physics.
Author : Mingmin Shen
Publisher : American Mathematical Soc.
ISBN 13 : 1470417405
Total Pages : 178 pages
Book Rating : 4.4/5 (74 download)
Download or read book The Fourier Transform for Certain HyperKahler Fourfolds written by Mingmin Shen and published by American Mathematical Soc.. This book was released on 2016-03-10 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using a codimension-1 algebraic cycle obtained from the Poincaré line bundle, Beauville defined the Fourier transform on the Chow groups of an abelian variety A and showed that the Fourier transform induces a decomposition of the Chow ring CH∗(A). By using a codimension-2 algebraic cycle representing the Beauville-Bogomolov class, the authors give evidence for the existence of a similar decomposition for the Chow ring of Hyperkähler varieties deformation equivalent to the Hilbert scheme of length-2 subschemes on a K3 surface. They indeed establish the existence of such a decomposition for the Hilbert scheme of length-2 subschemes on a K3 surface and for the variety of lines on a very general cubic fourfold.
Author : Guillermo Cortiñas
Publisher : American Mathematical Soc.
ISBN 13 : 0821868640
Total Pages : 289 pages
Book Rating : 4.8/5 (218 download)
Download or read book Topics in Noncommutative Geometry written by Guillermo Cortiñas and published by American Mathematical Soc.. This book was released on 2012 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Luis Santalo Winter Schools are organized yearly by the Mathematics Department and the Santalo Mathematical Research Institute of the School of Exact and Natural Sciences of the University of Buenos Aires (FCEN). This volume contains the proceedings of the third Luis Santalo Winter School which was devoted to noncommutative geometry and held at FCEN July 26-August 6, 2010. Topics in this volume concern noncommutative geometry in a broad sense, encompassing various mathematical and physical theories that incorporate geometric ideas to the study of noncommutative phenomena. It explores connections with several areas including algebra, analysis, geometry, topology and mathematical physics. Bursztyn and Waldmann discuss the classification of star products of Poisson structures up to Morita equivalence. Tsygan explains the connections between Kontsevich's formality theorem, noncommutative calculus, operads and index theory. Hoefel presents a concrete elementary construction in operad theory. Meyer introduces the subject of $\mathrm{C}^*$-algebraic crossed products. Rosenberg introduces Kasparov's $KK$-theory and noncommutative tori and includes a discussion of the Baum-Connes conjecture for $K$-theory of crossed products, among other topics. Lafont, Ortiz, and Sanchez-Garcia carry out a concrete computation in connection with the Baum-Connes conjecture. Zuk presents some remarkable groups produced by finite automata. Mesland discusses spectral triples and the Kasparov product in $KK$-theory. Trinchero explores the connections between Connes' noncommutative geometry and quantum field theory. Karoubi demonstrates a construction of twisted $K$-theory by means of twisted bundles. Tabuada surveys the theory of noncommutative motives.
Author : Martin Olsson
Publisher : American Mathematical Society
ISBN 13 : 1470474808
Total Pages : 313 pages
Book Rating : 4.4/5 (74 download)
Download or read book Algebraic Spaces and Stacks written by Martin Olsson and published by American Mathematical Society. This book was released on 2023-09-15 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of algebraic spaces and stacks intended for graduate students and researchers familiar with algebraic geometry at the level of a first-year graduate course. The first several chapters are devoted to background material including chapters on Grothendieck topologies, descent, and fibered categories. Following this, the theory of algebraic spaces and stacks is developed. The last three chapters discuss more advanced topics including the Keel-Mori theorem on the existence of coarse moduli spaces, gerbes and Brauer groups, and various moduli stacks of curves. Numerous exercises are included in each chapter ranging from routine verifications to more difficult problems, and a glossary of necessary category theory is included as an appendix. It is splendid to have a self-contained treatment of stacks, written by a leading practitioner. Finally we have a reference where one can find careful statements and proofs of many of the foundational facts in this important subject. Researchers and students at all levels will be grateful to Olsson for writing this book. —William Fulton, University of Michigan This is a carefully planned out book starting with foundations and ending with detailed proofs of key results in the theory of algebraic stacks. —Johan de Jong, Columbia University
Author : Jonathan R_osenberg
Publisher : American Mathematical Soc.
ISBN 13 : 0821849220
Total Pages : 122 pages
Book Rating : 4.8/5 (218 download)
Download or read book Topology, $C^*$-Algebras, and String Duality written by Jonathan R_osenberg and published by American Mathematical Soc.. This book was released on 2009-10-27 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: String theory is the leading candidate for a physical theory that combines all the fundamental forces of nature, as well as the principles of relativity and quantum mechanics, into a mathematically elegant whole. The mathematical tools used by string theorists are highly sophisticated, and cover many areas of mathematics. As with the birth of quantum theory in the early 20th century, the mathematics has benefited at least as much as the physics from the collaboration. In this book, based on CBMS lectures given at Texas Christian University, Rosenberg describes some of the most recent interplay between string dualities and topology and operator algebras. The book is an interdisciplinary approach to duality symmetries in string theory. It can be read by either mathematicians or theoretical physicists, and involves a more-or-less equal mixture of algebraic topology, operator algebras, and physics. There is also a bit of algebraic geometry, especially in the last chapter. The reader is assumed to be somewhat familiar with at least one of these four subjects, but not necessarily with all or even most of them. The main objective of the book is to show how several seemingly disparate subjects are closely linked with one another, and to give readers an overview of some areas of current research, even if this means that not everything is covered systematically.
Author : Prof. Dr. Francisco Bulnes
Publisher : Scientific Research Publishing, Inc. USA
ISBN 13 : 1618961403
Total Pages : 195 pages
Book Rating : 4.6/5 (189 download)
Download or read book Integral Geometry Methods in the Geometrical Langlands Program written by Prof. Dr. Francisco Bulnes and published by Scientific Research Publishing, Inc. USA. This book was released on 2016-06-08 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is divided on the studied aspects in integral geometry and that are of interest in field theory, at least, to the solution or obtaining of integrals to the field equations corresponding to the moduli stacks planted. In the chapters 1, 2, 3, 4, are exposed the generalizations of the Penrose transforms with a good D-modules theory in the derived categories context and their deformations. In the chapters 5, and 6, are exposed and discussed the different classification problems and their implications in the differential operators to the field equations. Finally, in the chapters 7, and 8 are exposed the aspects of the geometrical ramification of field ramification going behold the holomorphicity. In the end of the book are included several research exercises that can be discussed and exposed inside postgraduate courses in derived geometry or related as derived categories or categories on commutative and non-commutative rings.
Author : Cornell University. Department of Mathematics
Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.E/5 ( download)
Download or read book Annual Report written by Cornell University. Department of Mathematics and published by . This book was released on 1995 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Huybrechts
Publisher : Cambridge University Press
ISBN 13 : 1316797252
Total Pages : 499 pages
Book Rating : 4.3/5 (167 download)
Download or read book Lectures on K3 Surfaces written by Daniel Huybrechts and published by Cambridge University Press. This book was released on 2016-09-26 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of Calabi–Yau manifolds from various perspectives in eighteen self-contained chapters. It starts with the basics and guides the reader to recent breakthroughs, such as the proof of the Tate conjecture for K3 surfaces and structural results on Chow groups. Powerful general techniques are introduced to study the many facets of K3 surfaces, including arithmetic, homological, and differential geometric aspects. In this context, the book covers Hodge structures, moduli spaces, periods, derived categories, birational techniques, Chow rings, and deformation theory. Famous open conjectures, for example the conjectures of Calabi, Weil, and Artin–Tate, are discussed in general and for K3 surfaces in particular, and each chapter ends with questions and open problems. Based on lectures at the advanced graduate level, this book is suitable for courses and as a reference for researchers.
Author : Clay Mathematics Institute. Summer School
Publisher : American Mathematical Soc.
ISBN 13 : 9780821837153
Total Pages : 396 pages
Book Rating : 4.8/5 (371 download)
Download or read book Strings and Geometry written by Clay Mathematics Institute. Summer School and published by American Mathematical Soc.. This book was released on 2004 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains selection of expository and research article by lecturers at the school. Highlights current interests of researchers working at the interface between string theory and algebraic supergravity, supersymmetry, D-branes, the McKay correspondence andFourer-Mukai transform.
