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.
 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" Provided by publisher.
 "1. Introduction Let X c Pr be a smooth projective variety of dimension n over an algebraically closed field k of characteristic zero, and let n : X " P"+c be a general linear projection. In this note we introduce some new ways of bounding the complexity of the fibers of jr. Our ideas are closely related to the groundbreaking work of John Mather, and we explain a simple proof of his result [1973] bounding the ThomBoardman invariants of it as a special case" Provided by publisher.
 Supplemental links
 Cover image
Subjects
Bibliographic information
 Publication date
 2012
 Responsibility
 [edited by] Lucia Caporaso ... [et al.].
 Series
 Mathematical sciences research institute publications ; 59
 ISBN
 9780521768252
 052176825X