Cohomology on Toric Varieties and Local Cohomology with Monomial Supports

Details Cohomology on Toric Varieties and Local Cohomology with Monomial Supports Cohomology on Toric Varieties and Local Cohomology with Monomial Supports

2000-01-27

arxiv.org/abs/math/0001159v1

J. Symbolic Comput. 29 (2000), no. 4-5, 583-600

Mathematics

Algebraic Geometry

23 pages, 2 figures, uses diagrams.tex, to appear in Journal of Symbolic Computation

Scientific paper

We study the local cohomology modules H^i_B(R) for a reduced monomial ideal B in a polynomial ring R=k[X_1,...,X_n]. We consider a grading on R which is coarser than the Z^n-grading such that each component of H^i_B(R) is finite dimensional and we give an effective way to compute these components. Using Cox's description for sheaves on toric varieties, we apply these results to compute the cohomology of coherent sheaves on toric varieties. We give algorithms for this computation which have been implemented in the Macaulay 2 system. We obtain also a topological description for the cohomology of rank one torsionfree sheaves on toric varieties.

Affiliated with

Also associated with

No associations

Rating

Cohomology on Toric Varieties and Local Cohomology with Monomial Supports does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cohomology on Toric Varieties and Local Cohomology with Monomial Supports, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohomology on Toric Varieties and Local Cohomology with Monomial Supports will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-10836