Calculating Generators of Multigraded Algebras
arXiv:1203.5382 · doi:10.1016/j.jsc.2012.03.005
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.
14 pages, 3 figures