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The moduli space of tropical curves with fixed Newton polygon by Coles, Desmond; Dutta, Neelav; Jiang, Sifan; Morrison, Ralph; Scharf, Andrew is a scholarly article available to read on EtoBox.

What is The moduli space of tropical curves with fixed Newton polygon about?

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. We prove that if this polygon is nonhyperelliptic or maximal and hyperelliptic, then this formula matches the dimension of the moduli space of nondegenerate algebraic curves with that given Newton polygon.

Author

Coles, Desmond; Dutta, Neelav; Jiang, Sifan; Morrison, Ralph; Scharf, Andrew

Published

2020

Language

EN