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.
Standard Monomial Theory for Wonderful Varieties / P. Bravi, R. Chirivì, J. Gandini, A. Maffei. - In: ALGEBRAS AND REPRESENTATION THEORY. - ISSN 1386-923X. - STAMPA. - 19:2(2016), pp. 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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