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arxiv: 1108.2026 · v1 · pith:6UYOVWZCnew · submitted 2011-08-09 · 🧮 math.AG

Derived equivalence and birationality

classification 🧮 math.AG
keywords derivedbirationalityequivalencedifferentgivenimplyingproofalgebraically
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A different proof to a known criterion of derived equivalence implying birationality is given. Derived equivalent smooth projective curves over an algebraically closed field are proved to be isomorphic. A different proof of derived equivalence implying birationality for varieties of general type (originally due to Kawamata) is given.

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