Relative Moduli Spaces of Semi-stable Sheaves on Families of Curves PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Relative Moduli Spaces of Semi-stable Sheaves on Families of Curves PDF full book. Access full book title Relative Moduli Spaces of Semi-stable Sheaves on Families of Curves by Jens Thomas Alexander Lang. Download full books in PDF and EPUB format.
Author: Jens Thomas Alexander Lang
Publisher: Herbert Utz Verlag
ISBN: 9783896758941
Category :
Languages : en
Pages : 152
Get Book Here
Book Description
Author: Jens Thomas Alexander Lang
Publisher: Herbert Utz Verlag
ISBN: 9783896758941
Category :
Languages : en
Pages : 152
Get Book Here
Book Description
Author: Daniel Huybrechts
Publisher: Cambridge University Press
ISBN: 1139485822
Category : Mathematics
Languages : en
Pages : 345
Get Book Here
Book Description
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: Steven Dale Cutkosky
Publisher: American Mathematical Soc.
ISBN: 0821832646
Category : Mathematics
Languages : en
Pages : 258
Get Book Here
Book Description
This volume contains 13 papers from the conference on ``Hilbert Schemes, Vector Bundles and Their Interplay with Representation Theory''. The papers are written by leading mathematicians in algebraic geometry and representation theory and present the latest developments in the field. Among other contributions, the volume includes several very impressive and elegant theorems in representation theory by R. Friedman and J. W. Morgan, convolution on homology groups of moduli spaces of sheaves on K3 surfaces by H. Nakajima, and computation of the $S1$ fixed points in Quot-schemes and mirror principle computations for Grassmanians by S.-T. Yau, et al. The book is of interest to graduate students and researchers in algebraic geometry, representation theory, topology and their applications to high energy physics.
Author: Ricardo Castano-Bernard
Publisher: Springer
ISBN: 3319065149
Category : Mathematics
Languages : en
Pages : 445
Get Book Here
Book Description
The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of non-archimedean geometry (in particular, tropical curves) to Homological Mirror Symmetry. In combination with the subsequent work of Mikhalkin on the “tropical” approach to Gromov-Witten theory and the work of Gross and Siebert, Tropical Geometry has now become a powerful tool. Homological Mirror Symmetry is the area of mathematics concentrated around several categorical equivalences connecting symplectic and holomorphic (or algebraic) geometry. The central ideas first appeared in the work of Maxim Kontsevich (1993). Roughly speaking, the subject can be approached in two ways: either one uses Lagrangian torus fibrations of Calabi-Yau manifolds (the so-called Strominger-Yau-Zaslow picture, further developed by Kontsevich and Soibelman) or one uses Lefschetz fibrations of symplectic manifolds (suggested by Kontsevich and further developed by Seidel). Tropical Geometry studies piecewise-linear objects which appear as “degenerations” of the corresponding algebro-geometric objects.
Author: CLAUDIO BARTOCCI
Publisher: Springer Science & Business Media
ISBN: 0817646639
Category : Science
Languages : en
Pages : 435
Get Book Here
Book Description
Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three decades the development of a number of novel ideas in algebraic geometry, category theory, gauge theory, and string theory has been closely related to generalizations of integral transforms of a more geometric character. "Fourier–Mukai and Nahm Transforms in Geometry and Mathematical Physics" examines the algebro-geometric approach (Fourier–Mukai functors) as well as the differential-geometric constructions (Nahm). Also included is a considerable amount of material from existing literature which has not been systematically organized into a monograph. Key features: Basic constructions and definitions are presented in preliminary background chapters - Presentation explores applications and suggests several open questions - Extensive bibliography and index. This self-contained monograph provides an introduction to current research in geometry and mathematical physics and is intended for graduate students and researchers just entering this field.
Author: Jonathan Block
Publisher: American Mathematical Soc.
ISBN: 0821872958
Category : Mathematics
Languages : en
Pages : 506
Get Book Here
Book Description
The nature of interactions between mathematicians and physicists has been thoroughly transformed in recent years. String theory and quantum field theory have contributed a series of profound ideas that gave rise to entirely new mathematical fields and revitalized older ones. The influence flows in both directions, with mathematical techniques and ideas contributing crucially to major advances in string theory. A large and rapidly growing number of both mathematicians and physicists are working at the string-theoretic interface between the two academic fields. The String-Math conference series aims to bring together leading mathematicians and mathematically minded physicists working in this interface. This volume contains the proceedings of the inaugural conference in this series, String-Math 2011, which was held June 6-11, 2011, at the University of Pennsylvania.
Author: Kazuhiro Konno
Publisher: World Scientific
ISBN: 9814486736
Category : Mathematics
Languages : en
Pages : 273
Get Book Here
Book Description
This book is the proceedings of the conference “Algebraic Geometry in East Asia” which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001.As the breadth of the topics covered in this proceedings demonstrate, the conference was indeed successful in assembling a wide spectrum of East Asian mathematicians, and gave them a welcome chance to discuss current state of algebraic geometry.
Author: Akira Ohbuchi
Publisher: World Scientific
ISBN: 9789812705105
Category : Mathematics
Languages : en
Pages : 280
Get Book Here
Book Description
This book is the proceedings of the conference OC Algebraic Geometry in East AsiaOCO which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001.As the breadth of the topics covered in this proceedings demonstrate, the conference was indeed successful in assembling a wide spectrum of East Asian mathematicians, and gave them a welcome chance to discuss current state of algebraic geometry."
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 984
Get Book Here
Book Description
Author: Jacques Hurtubise
Publisher: American Mathematical Soc.
ISBN: 0821835688
Category : Mathematics
Languages : en
Pages : 266
Get Book Here
Book Description
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.
