Relative Moduli Spaces Of Semi Stable Sheaves On Families Of Curves

Author : Jens Thomas Alexander Lang
Publisher : Herbert Utz Verlag
ISBN 13 : 9783896758941
Total Pages : 152 pages
Book Rating : 4.42/5 ( download)

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Download or read book Relative Moduli Spaces of Semi-stable Sheaves on Families of Curves written by Jens Thomas Alexander Lang and published by Herbert Utz Verlag. This book was released on 2001 with total page 152 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 : 4.21/5 ( download)

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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 : Steven Dale Cutkosky
Publisher : American Mathematical Soc.
ISBN 13 : 0821832646
Total Pages : 258 pages
Book Rating : 4.46/5 ( download)

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Download or read book Vector Bundles and Representation Theory written by Steven Dale Cutkosky and published by American Mathematical Soc.. This book was released on 2003 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : CLAUDIO BARTOCCI
Publisher : Springer Science & Business Media
ISBN 13 : 0817646639
Total Pages : 435 pages
Book Rating : 4.39/5 ( download)

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Download or read book Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics written by CLAUDIO BARTOCCI and published by Springer Science & Business Media. This book was released on 2009-06-12 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ricardo Castano-Bernard
Publisher : Springer
ISBN 13 : 3319065149
Total Pages : 445 pages
Book Rating : 4.44/5 ( download)

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Download or read book Homological Mirror Symmetry and Tropical Geometry written by Ricardo Castano-Bernard and published by Springer. This book was released on 2014-10-07 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Jonathan Block
Publisher : American Mathematical Soc.
ISBN 13 : 0821872958
Total Pages : 506 pages
Book Rating : 4.56/5 ( download)

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Download or read book String-Math 2011 written by Jonathan Block and published by American Mathematical Soc.. This book was released on 2012 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Robert H. Dijkgraaf
Publisher : Springer Science & Business Media
ISBN 13 : 1461242649
Total Pages : 570 pages
Book Rating : 4.42/5 ( download)

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Download or read book The Moduli Space of Curves written by Robert H. Dijkgraaf and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory.

Author : Akira Ohbuchi
Publisher : World Scientific
ISBN 13 : 9789812705105
Total Pages : 280 pages
Book Rating : 4.04/5 ( download)

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Download or read book Proceedings of the Symposium on Algebraic Geometry in East Asia written by Akira Ohbuchi and published by World Scientific. This book was released on 2003-01-17 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Kazuhiro Konno
Publisher : World Scientific
ISBN 13 : 9814486736
Total Pages : 273 pages
Book Rating : 4.36/5 ( download)

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Download or read book Algebraic Geometry In East Asia, Proceedings Of The Symposium written by Kazuhiro Konno and published by World Scientific. This book was released on 2003-01-17 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Joe Harris
Publisher : Springer Science & Business Media
ISBN 13 : 0387227377
Total Pages : 381 pages
Book Rating : 4.75/5 ( download)

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Download or read book Moduli of Curves written by Joe Harris and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to a rich and fascinating subject: algebraic curves and how they vary in families. Providing a broad but compact overview of the field, this book is accessible to readers with a modest background in algebraic geometry. It develops many techniques, including Hilbert schemes, deformation theory, stable reduction, intersection theory, and geometric invariant theory, with the focus on examples and applications arising in the study of moduli of curves. From such foundations, the book goes on to show how moduli spaces of curves are constructed, illustrates typical applications with the proofs of the Brill-Noether and Gieseker-Petri theorems via limit linear series, and surveys the most important results about their geometry ranging from irreducibility and complete subvarieties to ample divisors and Kodaira dimension. With over 180 exercises and 70 figures, the book also provides a concise introduction to the main results and open problems about important topics which are not covered in detail.