Multigraded Hilbert Functions and Toric Complete Intersection Codes

Authors

Mesut Şahin, Hacettepe University
Ivan Soprunov, Cleveland State UniversityFollow

Document Type

Article

Publication Date

8-2016

Publication Title

Journal of Algebra

Abstract

Let X be a complete n-dimensional simplicial toric variety with homogeneous coordinate ring S . We study the multigraded Hilbert function H_YHY of reduced 0-dimensional subschemes Y in X . We provide explicit formulas and prove non-decreasing and stabilization properties of H_YHY 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.

Comments

The first author is supported by TÜBİTAK-2219, the second author is partially supported by NSA Grant H98230-13-1-0279.

Repository Citation

Şahin, M., & Soprunov, I. (2016). Multigraded hilbert functions and toric complete intersection codes. Journal of Algebra, 459, 446-467. doi:http://dx.doi.org/10.1016/j.jalgebra.2016.04.013

Original Citation

Şahin, M., & Soprunov, I. (2016). Multigraded hilbert functions and toric complete intersection codes. Journal of Algebra, 459, 446-467. doi:http://dx.doi.org/10.1016/j.jalgebra.2016.04.013

DOI

10.1016/j.jalgebra.2016.04.013

Volume

459