Derived-Equivalent Rational Threefolds

John Lesieutre

doi:10.1093/imrn/rnu117

Derived-Equivalent Rational Threefolds

John Lesieutre

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 P³ at various configurations of 8 points, which are related by Cremona transformations.

Original language	English (US)
Pages (from-to)	6011-6020
Number of pages	10
Journal	International Mathematics Research Notices
Volume	2015
Issue number	15
DOIs	https://doi.org/10.1093/imrn/rnu117
State	Published - 2015

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnu117

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Derived-Equivalent Rational Threefolds

Abstract

All Science Journal Classification (ASJC) codes

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