On the faithfulness of parabolic cohomology as a Hecke module over a finite field

Details On the faithfulness of parabolic cohomology as a Hecke module over a finite field On the faithfulness of parabolic cohomology as a Hecke module over a finite field

2005-11-04

arxiv.org/abs/math/0511115v3

Mathematics

Number Theory

26 pages; small corrections and changes

Scientific paper

In this article we prove conditions under which a certain parabolic group cohomology space over a finite field F is a faithful module for the Hecke algebra of Katz modular forms over an algebraic closure of F. These results can e.g. be used to compute Katz modular forms of weight one with methods of linear algebra over F. This is essentially Chapter 3 of my thesis.

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