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arxiv: 1611.10320 · v3 · pith:H6QCSILFnew · submitted 2016-11-30 · 🧮 math.AG · math.RT

A derived category approach to Kempf's vanishing theorem

classification 🧮 math.AG math.RT
keywords derivedkempftheoremvanishingandersen-haboushapproachargumentcategories
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We give a proof of the Andersen-Haboush identity that implies Kempf's vanishing theorem. Our argument is based on the structure of derived categories of coherent sheaves on flag varieties over $\mathbb Z$.

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