5 papers · 1 filter
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…
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…
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,…
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…
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…