9 citations · 13 across the 3 of their papers we have counts for
6 papers
Divisors in the moduli spaces of curves
Enrico Arbarello, Maurizio Cornalba
In this mostly expository paper we review several known results about the cohomology of moduli spaces of smooth and stable curves, focusing in particular on low degree cohomology.…
Teichmueller space via Kuranishi families
Enrico Arbarello, Maurizio Cornalba
We construct Teichmueller space by patching together Kuranishi families. We also discuss the basic properties of Teichmueller space, and in particular show that our construction le…
The Picard group of the moduli stack of stable hyperelliptic curves
Maurizio Cornalba
We compute the Picard group of the moduli stack of stable hyperelliptic curves of any genus, exhibiting explicit and geometrically meaningful generators and relations.
A sharp bound for the slope of double cover fibrations
M. Cornalba, L. Stoppino
Let f: X->B be a fibred surface of genus g whose general fibre is a double cover of a smooth curve of genus gamma. We show that, for g > 4gamma+1, the number 4(g-1)/(g-gamma) is a…
Moduli of roots of line bundles on curves
Lucia Caporaso, Cinzia Casagrande, Maurizio Cornalba
We treat the problem of completing the moduli space for roots of line bundles on curves. Special attention is devoted to higher spin curves within the universal Picard scheme. Two…
Calculating cohomology groups of moduli spaces of curves via algebraic geometry
Enrico Arbarello, Maurizio Cornalba
We compute the first, second, third, and fifth rational cohomology groups of the moduli space of stable n-pointed genus g curves, for all g and n, using (mostly) algebro-geometric…