Current Developments in Algebraic Geometry
Published on 19. March 2012
Book
Hardback
438 pages
978-0-521-76825-2 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 28 mm
Weight
819 gr
ISBN-13
978-0-521-76825-2 (9780521768252)
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Schweitzer Classification
Other editions
Additional editions
Lucia Caporaso | James McKernan | Mircea Mustata
Current Developments in Algebraic Geometry
Book
10/2014
Cambridge University Press
€64.30
Shipment within 15-20 days
Persons
Lucia Caporaso is a Professor of Mathematics at the Universita Roma Tre in Italy. James McKernan is the Norbert Wiener Professor of Mathematics at the Massachusetts Institute of Technology. Mircea Mustata is a Professor of Mathematics at the University of Michigan, Ann Arbor. Mihnea Popa is a Professor of Mathematics at the University of Illinois, Chicago.
Content
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 Janos Kollar; 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.