Hilbert's 14th Problem and Cox Rings
代数几何
2013-12-02 v2
摘要
Our main result is the description of generators of the total coordinate ring of the blow-up of in any number of points that lie on a rational normal curve. As a corollary we show that the algebra of invariants of the action of a two-dimensional vector group introduced by Nagata is finitely generated by certain explicit determinants. We also prove the finite generation of the algebras of invariants of actions of vector groups related to T-shaped Dynkin diagrams introduced by Mukai.
引用
@article{arxiv.math/0505337,
title = {Hilbert's 14th Problem and Cox Rings},
author = {Ana-Maria Castravet and Jenia Tevelev},
journal= {arXiv preprint arXiv:math/0505337},
year = {2013}
}
备注
20 pages; final version, Compositio Math. Vol.142 (2006)