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arXiv · 1311.0056

Derived-equivalent rational threefolds

John Lesieutre
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Abstract

We describe an infinite set of smooth projective threefolds that have equivalent derived categories but are not isomorphic, contrary to a conjecture of Kawamata. These arise as blow-ups of $\mathbb P^3$ at various configurations of 8 points, which are related by Cremona transformations.

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John Lesieutre. 2013-10-31. Derived-equivalent rational threefolds. https://arxiv.org/abs/1311.0056

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