English

Effective bounds for the negativity of Shimura curves on Hilbert Modular Surfaces

Algebraic Geometry 2015-12-31 v1

Abstract

We study the bounded negativity conjecture for non-quaternionic Hilbert modular surfaces and give an explicit bound for the special case of Hirzebruch-Zagier curves on Hilbert modular surfaces.

Keywords

Cite

@article{arxiv.1512.08670,
  title  = {Effective bounds for the negativity of Shimura curves on Hilbert Modular Surfaces},
  author = {Sonia Samol},
  journal= {arXiv preprint arXiv:1512.08670},
  year   = {2015}
}