Current developments in algebraic geometry
 Language
 English.
 Imprint
 Cambridge ; New York : Cambridge University Press, 2012.
 Physical description
 x, 426 p. : ill. ; 24 cm.
 Series
 Mathematical Sciences Research Institute publications ; 59.
Access
Available online

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QA564 .C866 2012

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QA564 .C866 2012
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Contributors
 Contributor
 Caporaso, Lucia.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 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 JunMuk Hwang 10. Quotients by finite equivalence relations Janos Kollar 11. Higherdimensional 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 FourierMukai methods Giuseppe Pareschi 15. Algebraic surfaces and hyperbolic geometry Burt Totaro.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 longstanding open problems by means of modern techniques currently under development and contain questions and conjectures to help spur future research.
(source: Nielsen Book Data)  Supplemental links
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Bibliographic information
 Publication date
 2012
 Responsibility
 [edited by] Lucia Caporaso ... [et al.].
 Series
 Mathematical sciences research institute publications ; 59
 ISBN
 9780521768252
 052176825X