31 citations · 49 across the 17 of their papers we have counts for
26 papers
Theta functions and projective structures
Indranil Biswas, Alessandro Ghigi, Luca Vai
Given a compact Riemann surface , we consider the line, in the space of sections of on , orthogonal to all the sections that vanish at the origin. This line produce…
Theta bundle, Quillen connection and the Hodge theoretic projective structure
Indranil Biswas, Alessandro Ghigi, Carolina Tamborini
There are two canonical projective structures on any compact Riemann surface of genus at least two: one coming from the uniformization theorem, and the other from Hodge theory. The…
Topological types of actions on curves
Diego Conti, Alessandro Ghigi, Roberto Pignatelli
We describe an algorithm that constructs a list of all topological types of holomorphic actions of a finite group on a compact Riemann surface of genus at least with…
A topological construction of families of Galois covers of the line
Alessandro Ghigi, Carolina Tamborini
We describe a new construction of families of Galois coverings of the line using basic properties of configuration spaces, covering theory, and the Grauert-Remmert Extension Theore…
Bergman kernel and period map for curves
Alessandro Ghigi, Carolina Tamborini
As for any symmetric space the tangent space to Siegel upper-half space is endowed with an operation coming from the Lie bracket on the Lie algebra. We consider the pull-back of th…
Some evidence for the Coleman-Oort conjecture
Diego Conti, Alessandro Ghigi, Roberto Pignatelli
The Coleman-Oort conjecture says that for large there are no positive-dimensional Shimura subvarieties of generically contained in the Jacobian locus. Counterexa…