1 citations · 2 across the 7 of their papers we have counts for
9 papers
Arakelov inequalities and characterization of totally geodesic ball quotients in
Matteo Costantini, Daniel Greb, Carolina Tamborini
We establish an Arakelov inequality for variations of Hodge structures underlying families of principally polarized complex Abelian varieties. In the equality case, this leads to a…
Families of cyclic curve coverings with maximal monodromy
Irene Spelta, Carolina Tamborini
We study the algebraic monodromy of families of cyclic Galois coverings of curves. Under a condition on the -decomposition of the associated variation of Hodge structures, we pr…
Non-tautological cycles on moduli spaces of smooth pointed curves
Dario Faro, Carolina Tamborini
In recent work by Arena, Canning, Clader, Haburcak, Li, Mok, and Tamborini it was proven that for infinitely many values of and , there exist non-tautological algebraic coho…
Holomorphic forms and non-tautological cycles on moduli spaces of curves
Veronica Arena, Samir Canning, Emily Clader +4
We prove, for infinitely many values of and , the existence of non-tautological algebraic cohomology classes on the moduli space of smooth, genus-, $n…
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…
Decomposable abelian -curves and special subvarieties
Irene Spelta, Carolina Tamborini
We consider families of abelian Galois coverings of the line. When the Jacobian of the general element is totally decomposable, i.e., is isogenous to a product of elliptic curves,…
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…
Symmetric spaces uniformizing Shimura varieties in the Torelli locus
Carolina Tamborini
An algebraic subvariety Z of A_g is totally geodesic if it is the image via the natural projection map of some totally geodesic submanifold X of the Siegel space. We say that X is…