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.
Bravi, P., Chirivì, R., Gandini, J., Maffei, A. (2016). Standard Monomial Theory for Wonderful Varieties. ALGEBRAS AND REPRESENTATION THEORY, 19(2), 489-509 [10.1007/s10468-015-9586-z].
Standard Monomial Theory for Wonderful Varieties
J. Gandini;A. Maffei
2016
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.File in questo prodotto:
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