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arxiv: 0905.0236 · v1 · submitted 2009-05-03 · 🧮 math.RT · math.AG

A q-Analogue of Kempf's vanishing theorem

Steen Ryom-Hansen This is my paper
classification 🧮 math.RT math.AG
keywords kempftheoremvanishinganalogonandersenbasiscrystaldeep
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We use deep properties of Kashiwara's crystal basis to show that the induction functor $ {H}^0 (-) $ introduced by Andersen, Polo and Wen satisfies an analogon of Kempf's vanishing Theorem.

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