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Derived Categories of Artin-Mumford double solids

Algebraic Geometry 2020-10-21 v2

Abstract

We consider the derived category of an Artin-Mumford quartic double solid blown-up at ten ordinary double points. We show that it has a semi-orthogonal decomposition containing the derived category of the Enriques surface of a Reye congruence. This answers affirmatively a conjecture by Ingalls and Kuznetsov.

Keywords

Cite

@article{arxiv.1506.02744,
  title  = {Derived Categories of Artin-Mumford double solids},
  author = {Shinobu Hosono and Hiromichi Takagi},
  journal= {arXiv preprint arXiv:1506.02744},
  year   = {2020}
}

Comments

We have moved some techinical staffs into our papers [24] and [25] in the reference