3 papers
math.DG2026
Minimizing the volume of globally hyperbolic anti-de Sitter 3-manifolds
Gabriele Mondello, Nicolas Tholozan
In this paper we show that the volume of a maximal globally hyperbolic Cauchy-compact anti-de Sitter -manifold is at least , and that this minimum value is attain…
math.AG2024
Compact Subvarieties of the Moduli Space of Complex Abelian Varieties
Samuel Grushevsky, Gabriele Mondello, Riccardo Salvati Manni +1
We determine the maximal dimension of compact subvarieties of , the moduli space of complex principally polarized abelian varieties of dimension , and the maximal…
math.DG2018
Spherical surfaces with conical points: systole inequality and moduli spaces with many connected components
Gabriele Mondello, Dmitri Panov
In this article we address a number of features of the moduli space of spherical metrics on connected, compact, orientable surfaces with conical singularities of assigned angles, s…