Desingularization [Documento eletrónico] : invariants and strategy : application to dimension 2 / Vincent Cossart, Uwe Jannsen, Shuji Saito ; Bernd Schober
Language: eng.Country: Switzerland, Swiss Confederation, Cham.Publication: Cham : Springer International Publishing, Springer, 2020Description: VIII, 258 p. : il.ISBN: 978-3-030-52640-5.Series: Lecture Notes in Mathematics, 2270Subject - Topical Name: Geometria algébrica | Invariantes Online Resources:Click here to access online| Item type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
|---|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA564.SPR FCT 103721 (Browse shelf(Opens below)) | 1 | Available | 96434 |
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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