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Desingularization: Invariants and Strategy : Application to Dimension 2 / by Vincent Cossart, Uwe Jannsen, Shuji Saito.
- Format:
- Book
- Author/Creator:
- Cossart, Vincent., Author.
- Jannsen, Uwe, Author.
- Saito, Shuji, Author.
- Series:
- Mathematics and Statistics (SpringerNature-11649)
- Lecture Notes in Mathematics, 1617-9692 ; 2270
- Language:
- English
- Subjects (All):
- Algebra.
- Geometry, Algebraic.
- Algebraic Geometry.
- Local Subjects:
- Algebra.
- Algebraic Geometry.
- Physical Description:
- 1 online resource (VIII, 258 pages) : 41 illustrations
- Edition:
- 1st ed. 2020.
- Contained In:
- Springer Nature eBook
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2020.
- System Details:
- text file PDF
- 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 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.
- Other Format:
- Printed edition:
- ISBN:
- 978-3-030-52640-5
- 9783030526405
- Access Restriction:
- Restricted for use by site license.
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