| Softcover ISBN: | 978-2-85629-953-1 |
| Product Code: | AST/431 |
| List Price: | $65.00 |
| AMS Member Price: | $52.00 |
| Softcover ISBN: | 978-2-85629-953-1 |
| Product Code: | AST/431 |
| List Price: | $65.00 |
| AMS Member Price: | $52.00 |
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Book DetailsAstérisqueVolume: 431; 2022; 137 ppMSC: Primary 14
Inspired by the work of Laumon on local \(\epsilon\)-factors and by Deligne's 1974 letter to Serre, the author gives an explicit cohomological definition of \(\epsilon\)-factors for \(\ell\)-adic Galois representations over henselian discrete valuation fields of positive equicharacteristic \(p=\ell\), with (not necessarily finite) perfect residue fields. These geometric local \(\epsilon\)-factors are completely characterized by an explicit list of purely local properties, such as an induction formula and the compatibility with geometric class field theory in rank 1, and satisfy a product formula for \(\ell\)-adic sheaves on a curve over a perfect field of characteristic \(p\).
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.
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Inspired by the work of Laumon on local \(\epsilon\)-factors and by Deligne's 1974 letter to Serre, the author gives an explicit cohomological definition of \(\epsilon\)-factors for \(\ell\)-adic Galois representations over henselian discrete valuation fields of positive equicharacteristic \(p=\ell\), with (not necessarily finite) perfect residue fields. These geometric local \(\epsilon\)-factors are completely characterized by an explicit list of purely local properties, such as an induction formula and the compatibility with geometric class field theory in rank 1, and satisfy a product formula for \(\ell\)-adic sheaves on a curve over a perfect field of characteristic \(p\).
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.
