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arxiv: 1504.02387 · v3 · pith:AZ3W32O4new · submitted 2015-04-09 · 🧮 math.AG · math.RT

Standard monomial theory for wonderful varieties

classification 🧮 math.AG math.RT
keywords ringmonomialstandardtheoryvarietywonderfulapplieddeduce
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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.

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