C. Fontanari

activity

20012026

most citedModuli of Prym curves

12 citations · 63 across the 57 of their papers we have counts for

collaborators

63 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 $P r_{g, n}^{(m_{1}, \dots, m_{n})}$ , 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.AG2024

Terracini loci and a codimension one Alexander-Hirschowitz theorem

Edoardo Ballico, Maria Chiara Brambilla, Claudio Fontanari

The Terracini locus $T (n, d; x)$ is the locus of all finite subsets $S$ of $P^{n}$ of cardinality $x$ such that $⟨ S ⟩ = P^{n}$ , $h^0(\mathcal{I…

math.AG2024

Nonvanishing and Abundance for cones of movable divisors

Gilberto Bini, Maria Chiara Brambilla, Claudio Fontanari +1

Let $Mov^{k} (X)$ be the closure of the cone $Mov^{k} (X)$ generated by classes of effective divisors on a projective variety $X$ with stable base locus of c…

math.AG2023

A question about generalized nonvanishing

Claudio Fontanari

Let $(X, Δ)$ be a projective, $Q$ -factorial log canonical pair and let $L$ be a pseudoeffective $Q$ -divisor on $X$ such that $K_{X} + Δ + L$ is pseudoeffective. Is th…

math.AG2023

A remark on generalized abundance for surfaces

Claudio Fontanari

Let $(X, Δ)$ be a projective klt pair of dimension $2$ and let $L$ be a nef $Q$ -divisor on $X$ such that $K_{X} + Δ + L$ is nef. As a complement to the Generalized Abundance…