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Current Developments in Algebraic Geometry 1st Edition by Lucia Caporaso, James McKernan, Mircea Mustata, Mihnea Popa 9780521768252 052176825X

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Current Developments in Algebraic Geometry 1st Edition Lucia Caporaso Digital Instant Download

Author(s): Lucia Caporaso, James McKernan, Mircea Mustata, Mihnea Popa
ISBN(s): 9780521768252, 052176825X
Edition: 1
File Details: PDF, 4.23 MB
Year: 2012
Language: english
SKU: EB-4655670 Category: Tags: , , ,

Current Developments in Algebraic Geometry 1st Edition by Lucia Caporaso, James McKernan, Mircea Mustata, Mihnea Popa – Ebook PDF Instant Download/Delivery: 9780521768252, 052176825X

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Product details:

ISBN 10: 052176825X

ISBN 13: 9780521768252

Author: Lucia Caporaso, James McKernan, Mircea Mustata, Mihnea Popa

Algebraic geometry is one of the most diverse fields of research in mathematics. It has had an incredible evolution over the past century, with new subfields constantly branching off and spectacular progress in certain directions, and at the same time, with many fundamental unsolved problems still to be tackled. In the spring of 2009 the first main workshop of the MSRI algebraic geometry program served as an introductory panorama of current progress in the field, addressed to both beginners and experts. This volume reflects that spirit, offering expository overviews of the state of the art in many areas of algebraic geometry. Prerequisites are kept to a minimum, making the book accessible to a broad range of mathematicians. Many chapters present approaches to long-standing open problems by means of modern techniques currently under development and contain questions and conjectures to help spur future research.

Table of contents:

1. Fibers of projections and submodules of deformations Roya Beheshti and David Eisenbud

2. Introduction to birational anabelian geometry Fedor Bogomolov and Yuri Tschinkel

3. Periods and moduli Olivier Debarre

4. The Hodge theory of character varieties Mark Andrea A. de Cataldo

5. Rigidity properties of Fano varieties Tommaso de Fernex and Christopher D. Hacon

6. The Schottky problem Samuel Grushevsky

7. Interpolation Joe Harris

8. Chow groups and derived categories of K3 surfaces Daniel Huybrechts

9. Geometry of varieties of minimal rational tangents Jun-Muk Hwang

10. Quotients by finite equivalence relations János Kollár

11. Higher-dimensional analogues of K3 surfaces Kieran G. O’Grady

12. Compactifications of moduli of abelian varieties: an introduction Martin Olsson

13. The geography of irregular surfaces Margarida Mendes Lopes and Rita Pardini

14. Basic results on irregular varieties via Fourier–Mukai methods Giuseppe Pareschi

15. Algebraic surfaces and hyperbolic geometry Burt Totaro.

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Tags: Lucia Caporaso, James McKernan, Mircea Mustata, Current