English

Derived equivalent Hilbert schemes of points on K3 surfaces which are not birational

Algebraic Geometry 2019-09-19 v3

Abstract

We provide a criterion for when Hilbert schemes of points on K3 surfaces are birational. In particular, this allows us to generate a plethora of examples of non-birational Hilbert schemes which are derived equivalent.

Keywords

Cite

@article{arxiv.1802.00281,
  title  = {Derived equivalent Hilbert schemes of points on K3 surfaces which are not birational},
  author = {Ciaran Meachan and Giovanni Mongardi and Kota Yoshioka},
  journal= {arXiv preprint arXiv:1802.00281},
  year   = {2019}
}

Comments

Final version, to appear in Math. Zeit