| Softcover ISBN: | 978-2-37905-220-0 |
| Product Code: | AST/461 |
| List Price: | $77.00 |
| AMS Member Price: | $61.60 |
| Softcover ISBN: | 978-2-37905-220-0 |
| Product Code: | AST/461 |
| List Price: | $77.00 |
| AMS Member Price: | $61.60 |
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Book DetailsAstérisqueVolume: 461; 2025; 162 ppMSC: Primary 14; 13; 20
This book deals with isolated quotient singularities by finite group schemes over algebraically closed fields of positive characteristic.
In the first part, the authors study isolated quotient singularities by finite and linearly reductive group schemes and show that they satisfy many, but not all, of the known properties of finite quotient singularities in characteristic zero. This includes the reconstruction of the quotient presentation from the singularity, Schlessinger’s rigidity theorem, and classification results of Klein and Brieskorn.
In the second part, the authors study torsors over the punctured spectrum of an isolated singularity, with an emphasis on rational double point singularities. As applications, the authors show that not all rational double points are quotient singularities and they extend the Flenner-Mumford criterion for smoothness of a normal surface germ to positive characteristic, generalizing the work of Esnault and Viehweg.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians.
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This book deals with isolated quotient singularities by finite group schemes over algebraically closed fields of positive characteristic.
In the first part, the authors study isolated quotient singularities by finite and linearly reductive group schemes and show that they satisfy many, but not all, of the known properties of finite quotient singularities in characteristic zero. This includes the reconstruction of the quotient presentation from the singularity, Schlessinger’s rigidity theorem, and classification results of Klein and Brieskorn.
In the second part, the authors study torsors over the punctured spectrum of an isolated singularity, with an emphasis on rational double point singularities. As applications, the authors show that not all rational double points are quotient singularities and they extend the Flenner-Mumford criterion for smoothness of a normal surface germ to positive characteristic, generalizing the work of Esnault and Viehweg.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians.
