The effective cone of the moduli space of sheaves on the plane

Izzet Coskun, Jack Huizenga, Matthew Woolf

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Let ζ be the Chern character of a stable coherent sheaf on P2. We compute the cone of effective divisors on the moduli space M(ζ) of semistable sheaves on P2 with Chern character ζ. The computation hinges on finding a good resolution of the general sheaf inM(ζ). This resolution is determined by Bridgeland stability and arises from a well-chosen Beilinson spectral sequence. The existence of a good choice of spectral sequence depends on remarkable number-theoretic properties of the slopes of exceptional bundles.

Original languageEnglish (US)
Pages (from-to)1421-1467
Number of pages47
JournalJournal of the European Mathematical Society
Volume19
Issue number5
DOIs
StatePublished - Jan 1 2017

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Chern Character
Spectral Sequence
Hinges
Sheaves
Moduli Space
Cones
Cone
Coherent Sheaf
Divisor
Bundle
Slope

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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The effective cone of the moduli space of sheaves on the plane. / Coskun, Izzet; Huizenga, Jack; Woolf, Matthew.

In: Journal of the European Mathematical Society, Vol. 19, No. 5, 01.01.2017, p. 1421-1467.

Research output: Contribution to journalArticle

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