Year: 2025
Type: article
Abstract: In this paper, we study the Severi varieties parametrizing integral curves of geometric genus-one on polarized toric surfaces in characteristic zero and describe their irreducible components. We show that the irreducible components are in natural bijection with certain affine sublattices of the lattice of characters of the toric surface. The sublattices are described explicitly in terms of the polygon defining the polarization of the toric surface.
DOI: 10.1090/proc/17443
Authors: Michael Barash, Ilya Tyomkin
Institution: Ben-Gurion University of the Negev
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416650295