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Smooth Compactifications of Locally Symmetric Varieties

A universal method for resolving singularities in geometry

David Mumford author Michael Rapoport author Avner Ash author Yung-sheng Tai author

Format:Paperback

Publisher:Cambridge University Press

Published:14th Jan '10

Currently unavailable, and unfortunately no date known when it will be back

Smooth Compactifications of Locally Symmetric Varieties cover

This essential work, Smooth Compactifications of Locally Symmetric Varieties, presents a universal method for addressing singularities in algebraic geometry.

The new edition of Smooth Compactifications of Locally Symmetric Varieties revives a celebrated work that has long been unavailable. It maintains the original content and structure while providing an unmatched presentation of a universal method for resolving a specific class of singularities in algebraic geometry. This updated version has undergone thorough re-typesetting, ensuring that errors have been corrected, proofs have been streamlined, and notation has been made consistent throughout the text.

In addition to preserving the foundational ideas, this edition also includes a comprehensive index and a guide to recent literature, making it a valuable resource for both researchers and graduate students. The book integrates concepts from various fields, including algebraic geometry, differential geometry, representation theory, and number theory. This interdisciplinary approach enhances its relevance and applicability across multiple areas of mathematical research.

Smooth Compactifications of Locally Symmetric Varieties continues to be an essential reference for those studying singularities in algebraic geometry. With its clear presentation and rich content, it serves as a bridge connecting different mathematical disciplines, fostering a deeper understanding of the subject matter and inspiring future research.

'The book under review is a new edition of the authors' celebrated research monograph … which must be seen as one of the milestones in contemporary algebraic and complex-analytic geometry … No doubt, this classic will maintain its outstanding role in algebraic geometry, Hermitian differential geometry, group representation theory, and arithmetic geometry also in the future, especially for active researchers and graduate students in these related areas of contemporary pure mathematics. In this regard, the present new edition of it is certainly more than welcome.' Zentralblatt MATH

ISBN: 9780521739559

Dimensions: 228mm x 152mm x 8mm

Weight: 350g

240 pages

2nd Revised edition