Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583828 | Journal of Algebra | 2016 | 22 Pages |
Abstract
Let X be a complete n-dimensional simplicial toric variety with homogeneous coordinate ring S . We study the multigraded Hilbert function HYHY of reduced 0-dimensional subschemes Y in X . We provide explicit formulas and prove non-decreasing and stabilization properties of HYHY when Y is a 0-dimensional complete intersection in X. We apply our results to computing the dimension of some evaluation codes on 0-dimensional complete intersection in simplicial toric varieties.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mesut Şahin, Ivan Soprunov,