Instanton bundles on the blowup of the projective 3-space at a point

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Casnati G., COŞKUN E., Genc O., Malaspina F.

Michigan Mathematical Journal, vol.70, no.4, pp.807-836, 2021 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 70 Issue: 4
  • Publication Date: 2021
  • Doi Number: 10.1307/mmj/1601625614
  • Journal Name: Michigan Mathematical Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Page Numbers: pp.807-836
  • Middle East Technical University Affiliated: Yes

Abstract

© 2021 University of Michigan. All rights reserved.We propose a general definition of mathematical instanton bundle with given charge on any Fano threefold extending the classical definitions on P3 and on Fano threefold with cyclic Picard group. Then we deal with the case of the blowup of P3 at a point, giving an explicit construction of instanton bundles satisfying some important extra properties. Moreover, we show that they correspond to smooth points of a component of the moduli space.