English

On the Fano dimension of an Enriques surface

Algebraic Geometry 2026-02-04 v1

Abstract

We construct a family of Fano fourfolds with the derived category of coherent sheaves of a general Enriques surface as semiorthogonal component. This improves a result of Kuznetsov, lowering the Fano dimension of a general Enriques surface from six to four.

Keywords

Cite

@article{arxiv.2602.03385,
  title  = {On the Fano dimension of an Enriques surface},
  author = {Federico Tufo},
  journal= {arXiv preprint arXiv:2602.03385},
  year   = {2026}
}

Comments

9 pages. Comments are welcome!