1 citations · 1 across the 3 of their papers we have counts for
4 papers
Moduli spaces of abstract and embedded Kummer varieties
Mattia Galeotti, Sara Perna
In this paper, we investigate the construction of two moduli stacks of Kummer varieties. The first one is the stack of abstract Kummer varieties and the…
Heat equation for theta functions and vector-valued modular forms
Sara Perna
We give a new method for constructing vector-valued modular forms from singular scalar-valued ones. As an application we prove the identity between two remarkable spaces of vector-…
Vector-valued modular forms and the Gauss map
Francesco Dalla Piazza, Alessio Fiorentino, Samuel Grushevsky +2
We use the gradients of theta functions at odd two-torsion points --- thought of as vector-valued modular forms --- to construct holomorphic differential forms on the moduli space…
On isomorphisms between Siegel modular threefolds
Sara Perna
The Satake compactification of the moduli space of principally polarized abelian surfaces with a level two structure has a degree 8 endomorphism. The aim of this paper is to show t…