Duality, Bridgeland wall-crossing and flips of secant varieties

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Abstract

Let vd(ℙ2) ϵ |O2(d)| denote the d-uple Veronese surface. After studying some general aspects of the wall-crossing phenomena for stability conditions on surfaces, we are able to describe a sequence of flips of the secant varieties of vd(ℙ2) by embedding the blow-up blvd(ℙ2) |O2(d)| into a suitable moduli space of Bridgeland semistable objects on ℙ2.

Original languageEnglish (US)
Article number17500112
JournalInternational Journal of Mathematics
Volume28
Issue number2
DOIs
StatePublished - Feb 1 2017
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics

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