Title | Calculating generators of multigraded algebras |
Author(s) | Nathan Owen Ilten, Lars Kastner |
Type | Article in Journal |
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 | T-varieties, Polyhedral divisors, Multigradings |
ISSN | 0747-7171 |
URL |
http://www.sciencedirect.com/science/article/pii/S0747717112001137 |
Language | English |
Journal | Journal of Symbolic Computation |
Volume | 51 |
Number | 0 |
Pages | 22 - 33 |
Year | 2013 |
Note | Effective Methods in Algebraic Geometry |
Edition | 0 |
Translation |
No |
Refereed |
No |