Nodal elliptic curves on K3 surfaces
Abstract
The purpose of this note is to study the (total) geometric genus of the compactified Severi curve $\overline{V}^{L,g1}$ consisting of nodal elliptic curves on a general primitively polarized K3 surface $(X,L)$ of genus $g$. We prove that the genus is bounded below by $O(e^{C\sqrt{g}})$ and conjecture an asymptotic of $O(e^{Cg})$.
 Publication:

arXiv eprints
 Pub Date:
 January 2020
 arXiv:
 arXiv:2001.05104
 Bibcode:
 2020arXiv200105104C
 Keywords:

 Mathematics  Algebraic Geometry
 EPrint:
 22 pages, 3 figures. Comments are welcome!