3 papers
math.AG2026
On the rational cohomology of moduli spaces of Prym curves
Claudio Fontanari
We investigate the low degree rational cohomology groups of the moduli space of twisted Prym curves , where the integer…
math.AG2026
On the Riemann-Roch formula: old and new
Claudio Fontanari
The Riemann-Roch formula is a cornerstone in the classical theory of algebraic curves. Here we present a novel approach to its proof, by answering a question posed in 2007 by Matth…
math.AG2025
Terracini loci and a codimension one Alexander-Hirschowitz theorem
Edoardo Ballico, Maria Chiara Brambilla, Claudio Fontanari
The Terracini locus is the locus of all finite subsets of of cardinality such that , $h^0(\mathcal{I…