The moduli space of tropical curves with fixed Newton polygon-Reference-Cited by-同舟云学术

The moduli space of tropical curves with fixed Newton polygon

Published:2022-01-01 Issue:1 Volume:22 Page:49-68
ISSN:1615-7168
Container-title:Advances in Geometry
language:en
Short-container-title:

Author:

Coles Desmond¹,Dutta Neelav²,Jiang Sifan³,Morrison Ralph⁴,Scharf Andrew⁵

Affiliation:

1. University of Texas , Austin , USA

2. University of Virginia , Virginia USA

3. Yale University , New Haven , CT , USA

4. Williams College , Williamstown , MA , USA

5. University of California , Berkeley , CA , USA

Abstract

Abstract Given a lattice polygon, we study the moduli space of all tropical plane curves with that Newton polygon. We determine a formula for the dimension of this space in terms of combinatorial properties of that polygon. If this polygon is nonhyperelliptic or maximal and hyperelliptic, then this formula matches the dimension of the moduli space of nondegenerate algebraic curves with the given Newton polygon.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom-2021-0031/pdf

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