Desingularization: invariants and strategy : application to dimension 2

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...

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Détails bibliographiques
Auteurs principaux : Cossart Vincent (Auteur), Jannsen Uwe (Auteur), Saito Shuji (Auteur), Schober Bernd (Auteur)
Format : Livre
Langue : anglais
Titre complet : Desingularization: invariants and strategy : application to dimension 2 / Vincent Cossart, Uwe Jannsen, Shuji Saito; with contributions by Bernd Schober
Publié : Cham : Springer Nature Switzerland AG , C 2020
Description matérielle : 1 vol. (VIII-256 p.)
Collection : Lecture notes in mathematics ; 2270
Sujets :
Documents associés : Autre format: Desingularization: invariants and strategy
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330 |a 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.  |2 4e de couverture 
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