Cohomology on Toric Varieties and Local Cohomology with Monomial Supports
نویسندگان
چکیده
منابع مشابه
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...
متن کامل2 7 Ja n 20 00 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 i local cohomol...
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Topologically, compact toric varieties can be constructed as identification spaces: they are quotients of the product of a compact torus and the order complex of the fan. We give a detailed proof of this fact, extend it to the non-compact case and draw several, mostly cohomological conclusions. In particular, we show that the equivariant integral cohomology of a toric variety can be described i...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2000
ISSN: 0747-7171
DOI: 10.1006/jsco.1999.0326