English

Solvability of curves on surfaces

Algebraic Geometry 2017-05-10 v1

Abstract

In this article, we study subloci of solvable curves in Mg\mathcal{M}_g which are contained in either a K3-surface or a quadric or a cubic surface. We give a bound on the dimension of such subloci. In the case of complete intersection genus gg curves in a cubic surface, we show that a general such curve is solvable.

Keywords

Cite

@article{arxiv.1705.03041,
  title  = {Solvability of curves on surfaces},
  author = {Ananyo Dan and Mohamad Zaman Fashami and Natascia Zangani},
  journal= {arXiv preprint arXiv:1705.03041},
  year   = {2017}
}

Comments

11 pages

R2 v1 2026-06-22T19:40:42.580Z