Standard monomial theory for wonderful varieties
Algebraic Geometry
2018-06-26 v3 Representation Theory
Abstract
A general setting for a standard monomial theory on a multiset is introduced and applied to the Cox ring of a wonderful variety. This gives a degeneration result of the Cox ring to a multicone over a partial flag variety. Further, we deduce that the Cox ring has rational singularities.
Keywords
Cite
@article{arxiv.1504.02387,
title = {Standard monomial theory for wonderful varieties},
author = {Paolo Bravi and Rocco Chirivì and Jacopo Gandini and Andrea Maffei},
journal= {arXiv preprint arXiv:1504.02387},
year = {2018}
}
Comments
v3: 20 pages, final version to appear on Algebras and Representation Theory. The final publication is available at Springer via http://dx.doi.org/10.1007/s10468-015-9586-z. v2: 20 pages, examples added in Section 3 and in Section 4