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arXiv · 1203.5382

Calculating Generators of Multigraded Algebras

Nathan Owen Ilten·Lars Kastner
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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.

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Nathan Owen Ilten, Lars Kastner. 2012-03-24. Calculating Generators of Multigraded Algebras. https://doi.org/10.1016/j.jsc.2012.03.005

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