English

Calculating Generators of Multigraded Algebras

Algebraic Geometry 2019-11-26 v1 Commutative Algebra

Abstract

We present an algorithm to find generators of the multigraded algebra A associated to an arbitrary p-divisor D on some variety Y. A modified algorithm is also presented for the case where Y admits a torus action. We demonstrate our algorithm by computing generators for the Cox ring of the smooth del Pezzo surface of degree 5.

Keywords

Cite

@article{arxiv.1203.5382,
  title  = {Calculating Generators of Multigraded Algebras},
  author = {Nathan Owen Ilten and Lars Kastner},
  journal= {arXiv preprint arXiv:1203.5382},
  year   = {2019}
}

Comments

14 pages, 3 figures

R2 v1 2026-06-21T20:39:16.219Z