Surfaces of general type with $p_g=1$, $q=0$, $K^2=6$ and Grassmannians

Enrico Fatighenti

Surfaces of general type with $p_g=1$, $q=0$, $K^2=6$ and Grassmannians

Algebraic Geometry 2019-11-11 v2

Authors: Enrico Fatighenti

Abstract

We construct examples of surfaces of general type with $p_g=1$ , $q=0$ and $K^2=6$ . We use as key varieties Fano fourfolds and Calabi-Yau threefolds that are zero section of some special homogeneous vector bundle on Grassmannians. We link as well our construction to a classical Campedelli surface, using the Pfaffian-Grassmannian correspondence.

Keywords

surfaces of general type fano fourfolds calabi-yau threefolds grassmannians homogeneous vector bundle campedelli surface pfaffian-grassmannian correspondence

Cite

@article{arxiv.1802.04643,
  title  = {Surfaces of general type with $p_g=1$, $q=0$, $K^2=6$ and Grassmannians},
  author = {Enrico Fatighenti},
  journal= {arXiv preprint arXiv:1802.04643},
  year   = {2019}
}

Comments

Minor inaccuracies fixed. Final version, to appear in Math. Nachr. 293 (2020), no. 1

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