V. Gennaro

activity

20042026

collaborators

10 papers

math.AG2026

On the genus of a curve in a projective $3$ -fold

Vincenzo Di Gennaro, Antonio Rapagnetta, Pietro Sabatino

Let $X \subset P^{r}$ be a projective factorial variety of dimension $3$ , degree $n$ , with at worst isolated singularities. Assume that the Picard group of $X$ is generated by…

math.AG2022

The genus of curves in $P^{4}$ and $P^{5}$ not contained in quadrics

Vincenzo Di Gennaro

A classical problem in the theory of projective curves is the classification of all their possible genera in terms of the degree and the dimension of the space where they are embed…

math.AG2021

A lower bound for $χ (O_{S})$

Vincenzo Di Gennaro

Let $(S, L)$ be a smooth, irreducible, projective, complex surface, polarized by a very ample line bundle $L$ of degree $d > 25$ . In this paper we prove that $χ(\m…

math.AG2016

On the existence of a Gysin morphism for the Blow-up of an ordinary singularity

Vincenzo Di Gennaro, Davide Franco

In this paper we characterize the Blowing-up maps of ordinary singularities for which there exists a natural Gysin morphism, i.e. a bivariant class $θ\in Hom_{D(Y)}(Rπ_*\mathbb Q_X…

math.AG2011

Refining Castelnuovo-Halphen bounds

Vincenzo Di Gennaro, Davide Franco

Fix integers $r, d, s, π$ with $r \geq 4$ , $d ≫ s$ , $r - 1 \leq s \leq 2 r - 4$ , and $π \geq 0$ . Refining classical results for the genus of a projective curve, we exhibit a sharp upper boun…

math.AG2008

Monodromy of a family of hypersurfaces

Vincenzo Di Gennaro, Davide Franco

Let $Y$ be an $(m + 1)$ -dimensional irreducible smooth complex projective variety embedded in a projective space. Let $Z$ be a closed subscheme of $Y$ , and $δ$ be a positive integer…

On the genus of a curve in a projective 3-fold

The genus of curves in P4 and P5 not contained in quadrics

A lower bound for χ(OS​)

On the existence of a Gysin morphism for the Blow-up of an ordinary singularity

Refining Castelnuovo-Halphen bounds

Monodromy of a family of hypersurfaces

On the genus of a curve in a projective $3$ -fold

The genus of curves in $P^{4}$ and $P^{5}$ not contained in quadrics

A lower bound for $χ (O_{S})$