Solvability of Curves on Surfaces

  • Ananyo Dan Basque Centre for Applied Mathematics
  • Mohamad Zaman Fashami K. N. Toosi University of technology
  • Natascia Zangani University of Trento

Abstract

In this article, we study subloci of solvable curves in Mg 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 g curves in a cubic surface, we show that a general such curve is solvable. 

Author Biography

Natascia Zangani, University of Trento
PhD student
Published
2017-11-15
Section
Articoli