Derived-Equivalent Rational Threefolds

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

Original languageEnglish (US)
Pages (from-to)6011-6020
Number of pages10
JournalInternational Mathematics Research Notices
Volume2015
Issue number15
DOIs
StatePublished - Jan 1 2015

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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