1 citations · 1 across the 5 of their papers we have counts for
5 papers
The MMP singularities of GIT versus Baily-Borel compactifications for the ball quotient case
Dali Shen
When the geometric invariant theory and the Baily-Borel theory both apply to a moduli space, the two resulting compactifications do not necessarily coincide. They usually differ by…
Kähler cone-manifolds arising from a projective arrangement
Dali Shen
Given a hyperplane arrangement of some type in a projective space, the Dunkl system, developed by Couwenberg, Heckman and Looijenga, is used to study the geometric structures on it…
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…
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…
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…