2 7 Ja n 20 00 Cohomology On Toric Varieties and Local Cohomology With Monomial Supports
نویسنده
چکیده
In this note we describe aspects of the cohomology of coherent sheaves on a complete toric variety X over a field k and, more generally, the local cohomology, with supports in a monomial ideal, of a finitely generated module over a polynomial ring S. This leads to an efficient way of computing such cohomology, for which we give explicit algorithms. The problem is finiteness. The i local cohomology of an S-module P with supports in an ideal B is the limit
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Cohomology on Toric Varieties and Local Cohomology with Monomial Supports
In this note we describe aspects of the cohomology of coherent sheaves on a complete toric variety X over a field k and, more generally, the local cohomology, with supports in a monomial ideal, of a finitely generated module over a polynomial ring S. This leads to an efficient way of computing such cohomology, for which we give explicit algorithms. The problem is finiteness. The ith local cohom...
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