Stable Ulrich bundles on Fano threefolds with Picard number 2

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Genc O.

JOURNAL OF PURE AND APPLIED ALGEBRA, cilt.222, sa.1, ss.213-240, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 222 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.jpaa.2017.03.013
  • Dergi Adı: JOURNAL OF PURE AND APPLIED ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.213-240
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we consider the existence problem of rank one and two stable Ulrich bundles on imprimitive Fano 3-folds obtained by blowing-up one of P-3, Q (smooth quadric in P-4), V-3 (smooth cubic in P-4) or V-4 (complete intersection of two quadrics in P-5) along a smooth irreducible curve. We prove that the only class which admits Ulrich line bundles is the one obtained by blowing up a genus 3, degree 6 curve in P-3. Also, we prove that there exist stable rank two Ulrich bundles with c(1) = 3H on a generic member of this deformation class. (C) 2017 Elsevier B.V. All rights reserved.