Calculating Generators of Multigraded Algebras

Details Calculating Generators of Multigraded Algebras Calculating Generators of Multigraded Algebras

2012-03-24

arxiv.org/abs/1203.5382v1

Mathematics

Algebraic Geometry

14 pages, 3 figures

Scientific paper

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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