Moduli spaces and vector bundles /

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Moduli spaces and vector bundles / / edited by Steven B. Bradlow [and others]

資料種別:: 電子ブック
形態:: 1 online resource (x, 505 pages)
シリーズ名:: London Mathematical Society lecture note series ; 359
著者名:: Bradlow, Steve
ISBN:: 9781139107037 [1139107038] ((ebook))
9780521734714 [0521734711]
書誌ID:: EB00000198

フルテキスト

書誌詳細

その他の標題:

Moduli Spaces & Vector Bundles

注記:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Vector bundles and their associated moduli spaces are of fundamental importance in algebraic geometry. In recent decades this subject has been greatly enhanced by its relationships with other areas of mathematics, including differential geometry, topology and even theoretical physics, specifically gauge theory, quantum field theory and string theory. Peter E. Newstead has been a leading figure in this field almost from its inception and has made many seminal contributions to our understanding of moduli spaces of stable bundles. This volume has been assembled in tribute to Professor Newstead and his contribution to algebraic geometry. Some of the subject's leading experts cover foundational material, while the survey and research papers focus on topics at the forefront of the field. This volume is suitable for both graduate students and more experienced researchers.

主題:

Moduli theory; Vector bundles

目次情報:

Preface

Acknowledgments

Lecture Notes / Part I：

Lectures on principal bundles / V. Balaji1：

Brill-Noether theory for stable vector bundles Ivona Grzegorczyk and Montserrat Teixidor i Bigas / 2：

Fourier-Mukai and Nahm transforms / U. Bruzzo ; D. HernÃíndez RuipÃ©rez ; C. Tejero Prieto3：

Geometric invariant theory / P. E. Newstead4：

Deformation theory for vector bundles / N. Nitsure5：

The theory of vector bundles / S. Ramanan6：

Survey articles / Part II：

Moduli of sheaves from moduli of Kronecker modules / L. Ãílvarez-CÃ³nsul ; A. King7：

Coherent Systems: a brief survey / S. B. Bradlow8：

Higgs bundles surface group representations Oscar / GarcÃ¡a-Prada9：

Quotients by non-reductive algebraic group actions / Frances Kirwan10：

Dualities on T*SUx(2, Ox) / E. Previato11：

Moduli spaces for principal bundles / A. H. W. Schmitt12：

Research Articles / Part III：

Beilinson type spectral sequences on scrolls / M. Aprodu ; V. BrÃ“nzÄânescu13：

Coherent systems on a nodal curve Usha / N. Bhosle14：

Brill-Noether bundles and coherent systems on special curves / L. Brambila-Paz ; Angela Ortega15：

Higgs bundles in the vector representation / N. Hitchin16：

Moduli spaces of torsion free sheaves on nodal curves / C. S. Seshadri17：

Lectures on Principal Bundles

Brill-Noether Theory for Stable Vector Bundles / Ivona Grzegorczyk ; Montserrat Teixidor i Bigas

Introduction to Fourier-Mukai and Nahm Transforms with an Application to Coherent Systems on Elliptic Curves / D. Hernández Ruipérez

Geometric Invariant Theory

Deformation Theory for Vector Bundles

The Theory of Vector Bundles on Algebraic Curves with Some Applications

Survey Articles

Moduli of Sheaves from Moduli of Kronecker Modules / L. Álvarez-Cónsul

Coherent Systems: a Brief Survey

Higgs Bundles Surface and Group Representations / Oscar García-Prada

Quotients by Non-Reductive Algebraic Group Actions

Dualities on T*SU_X (2,O_x)

Moduli Spaces for Principal Bundles / A.H.W. Schmitt

Beilinson Type Spectral Sequences on Scrolls / V. Brînzănescu

Coherent Systems on a Nodal Curve / Usha N. Bhosle

Brill-Noether Bundles and Coherent Systems on Special Curves

Higgs Bundles in the Vector Representation

Moduli Spaces of Torsion Free Sheaves on Nodal Curves and Generalisations - I / C.S. Seshadri

Preface

Acknowledgments

Lecture Notes / Part I：

Lectures on principal bundles / V. Balaji1：

Brill-Noether theory for stable vector bundles Ivona Grzegorczyk and Montserrat Teixidor i Bigas / 2：

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類似資料:

1 図書 Cohomology of vector bundles and syzygies Weyman, Jerzy Cambridge University Press	7 図書 Representations of elementary abelian p-groups and vector bundles Benson, D. J. (David J.), 1955- Cambridge University Press
2 図書 Lectures on vector bundles Le Potier, Joseph, 1944- Cambridge University Press	8 図書 On the classification of varieties and moduli spaces Mumford, David, 1937- Springer
3 図書 Vector bundles and their applications Luke, G. L. (Glenys L.), Mishchenko, Aleksandr Sergeevich Kluwer Academic	9 図書 The geometry of moduli spaces of sheaves Huybrechts, Daniel, Lehn, Manfred Cambridge University Press
4 図書 Vector bundles in mathematical physics Hermann, Robert, 1931- W.A. Benjamin	10 図書 Kähler metric and moduli spaces 落合, 卓四郎(1943-) Kinokuniya, Academic Press
5 図書 Algebraic surfaces and holomorphic vector bundles Friedman, Robert, 1955- Springer	11 図書 Computers, rigidity, and moduli : the large-scale fractal geometry of Riemannian moduli space Weinberger, Shmuel Princeton University Press
6 図書 Holomorphic vector bundles over compact complex surfaces Brînzănescu, Vasile, 1945- Springer	12 図書 Frobenius manifolds, quantum cohomology, and moduli spaces Manin, ÍÙ. I. American Mathematical Society

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