Arithmetically Cohen–Macaulay Bundles on Cubic Fourfolds Containing a Plane

  • Martí LahozEmail author
  • Emanuele Macrì
  • Paolo Stellari
Part of the Progress in Mathematics book series (PM, volume 320)


We study ACM bundles on cubic fourfolds containing a plane exploiting the geometry of the associated quadric fibration and Kuznetsov’s treatment of their bounded derived categories of coherent sheaves. More precisely, we recover the K3 surface naturally associated to the fourfold as a moduli space of Gieseker stable ACM bundles of rank four.


Arithmetically Cohen-Macaulay vector bundles cubic fourfolds 


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Martí Lahoz
    • 1
    Email author
  • Emanuele Macrì
    • 2
    • 3
  • Paolo Stellari
    • 4
  1. 1.Institut de Mathématiques de Jussieu, Paris Rive Gauche (UMR 7586)Université Paris Diderot / Université Pierre et Marie CurieParis Cedex 13France
  2. 2.Department of MathematicsThe Ohio State UniversityColumbusUSA
  3. 3.Department of MathematicsNortheastern UniversityBostonUSA
  4. 4.Dipartimento di Matematica “F. Enriques”Università degli Studi di MilanoMilanoItaly

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