We find bounds for the genus of a curve over a field of characteristic p under the hypothesis that the Cartier operator of this curve has low rank and in the case where it is nilpotent.

The rank of the Cartier operator and linear systems on curves

RE, Riccardo
2001-01-01

Abstract

We find bounds for the genus of a curve over a field of characteristic p under the hypothesis that the Cartier operator of this curve has low rank and in the case where it is nilpotent.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/3054
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