3 papers
math.AG2020
The moduli space of the tropicalizations of Riemann surfaces
Dali Shen
In this paper we study the moduli space of the tropicalizations of Riemann surfaces. We first tropicalize a smooth pointed Riemann surface by a graph defined by its (hyperbolic) pa…
math.AG2019
Frobenius algebras and root systems: the trigonometric case
Dali Shen
We construct Frobenius structures on the -bundle of the complement of a toric arrangement associated with a root system, by making use of a one-parameter famil…
math.AG2018
Geometric structures on the complement of a toric mirror arrangement
Dali Shen
We study geometric structures on the complement of a toric mirror arrangement associated with a root system. Inspired by those special hypergeometric functions found by Heckman-Opd…