On nondegeneracy of curves
Algebraic Geometry
2008-04-11 v2 Combinatorics
Abstract
A curve is called nondegenerate if it can be modeled by a Laurent polynomial that is nondegenerate with respect to its Newton polytope. We show that up to genus 4, every curve is nondegenerate. We also prove that the locus of nondegenerate curves inside the moduli space of curves of fixed genus g > 1 is min(2g+1,3g-3)-dimensional, except in case g=7 where it is 16-dimensional.
Keywords
Cite
@article{arxiv.0802.0420,
title = {On nondegeneracy of curves},
author = {Wouter Castryck and John Voight},
journal= {arXiv preprint arXiv:0802.0420},
year = {2008}
}