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, cilt.70, sa.4, ss.807-836, 2021 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 70 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1307/mmj/1601625614
  • Dergi Adı: Michigan Mathematical Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.807-836
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

© 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.