3 papers
math.AG2026
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…
math.AG2025
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…
math.AG2025
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,…