Algebraic cycles, sheaves, shtukas, and moduli : Impanga lecture notes / Piotr Pragacz, ed.

Format:

Book

Contributor:

Pragacz, Piotr.

Series:

Trends in mathematics.

Trends in mathematics

Language:

English

Subjects (All):

Algebraic cycles.

Moduli theory.

Sheaf theory.

Vector bundles.

Hoene-Wroński, Józef Maria, 1776-1853.

Hoene-Wroński, Józef Maria.

Physical Description:

1 online resource (244 p.)

Edition:

1st ed. 2008.

Place of Publication:

Basel : Birkhauser ; London : Springer [distributor], c2008.

Language Note:

English

Summary:

The articles in this volume are devoted to: - moduli of coherent sheaves; - principal bundles and sheaves and their moduli; - new insights into Geometric Invariant Theory; - stacks of shtukas and their compactifications; - algebraic cycles vs. commutative algebra; - Thom polynomials of singularities; - zero schemes of sections of vector bundles. The main purpose is to give "friendly" introductions to the above topics through a series of comprehensive texts starting from a very elementary level and ending with a discussion of current research. In these texts, the reader will find classical results and methods as well as new ones. The book is addressed to researchers and graduate students in algebraic geometry, algebraic topology and singularity theory. Most of the material presented in the volume has not appeared in books before. Contributors: Jean-Marc Drézet, Tomás L. Gómez, Adrian Langer, Piotr Pragacz, Alexander H. W. Schmitt, Vasudevan Srinivas, Ngo Dac Tuan, Andrzej Weber.

Contents:

Notes on the Life and Work of Józef Maria Hoene-Wro?ski

Exotic Fine Moduli Spaces of Coherent Sheaves

Moduli Spaces of Coherent Sheaves on Multiples Curves

Lectures on Principal Bundles over Projective Varieties

Lectures on Torsion-free Sheaves and Their Moduli

Miscellany on the Zero Schemes of Sections of Vector Bundles

Thom Polynomials of Invariant Cones, Schur Functions and Positivity

Geometric Invariant Theory Relative to a Base Curve

Some Applications of Algebraic Cycles to Affine Algebraic Geometry

to the Stacks of Shtukas.

Notes:

"A tribute to Hoene-Wronski."

Includes bibliographical references.

ISBN:

1-281-24208-X

9786611242084

3-7643-8537-5

OCLC:

261324653