ENGLISH

Desingularization: Invariants and Strategy: Application to Dimension 2

By Uwe Jannsen , Shuji Saito , Vincent Cossart

Book information

Publisher
Springer International Publishing;Springer
Year
2020
ISBN
9783030526399, 9783030526405
DOI
10.1007/978-3-030-52640-5
Language
english
Format
PDF
Filesize
4 MB (4315674 bytes)
Series
Lecture Notes in Mathematics 2270
Edition
1st ed.
Pages
VIII, 258\258
Time added
2021-01-06 05:41:07
Mathematics; Algebra; Algebraic Geometry

Description

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 Hironaka’s 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.

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