Desingularization : invariants and strategy : application to dimension 2 / Vincent Cossart, Uwe Jannsen, Shuji Saito ; with contributions by Bernd Schober.

Format:

Book

Author/Creator:

Cossart, Vincent, 1950-

Contributor:

Jannsen, Uwe.

Saitō, Shūji, 1957-

Series:

Lecture notes in mathematics (Springer-Verlag) ; 2270.

Lecture notes in mathematics, 0075-8434 ; volume 2270

Language:

English

Subjects (All):

Singularities (Mathematics).

Invariants.

Dimension theory (Algebra).

Physical Description:

viii, 256 pages : illustrations ; 24 cm.

Place of Publication:

Cham : Springer, [2020]

Summary:

This book provides a rigorous and self-contained review of desingularization theory. Focusing on arbitrary dimensional schemes, it discusses the important concepts in full generality, complete with proofs, and includes an introduction to the basis of Hironakas Theory. The core of the book is a complete proof of desingularization of surfaces; despite being well-known, this result was no more than folklore for many years, with no existing references. Throughout the book there are numerous computations on standard bases, blowing ups and characteristic polyhedra, which will be a source of inspiration for experts exploring bigger dimensions. Beginners will also benefit from a section which presents some easily overlooked pathologies.

Notes:

Includes bibliographical references (pages 249-253) and index.

Current copyright fee: GBP19.00 42\0.

Other Format:

e-book version

ISBN:

9783030526399

3030526399

OCLC:

1195521739

Publisher Number:

9783030526399