Vincenzo Di Gennaro

activity

20102020

most citedNéron-Severi group of a general hypersurface

8 citations · 10 across the 8 of their papers we have counts for

collaborators

8 papers

math.AG2020

Intersection cohomology and Severi's varieties

Vincenzo Di Gennaro, Davide Franco

Let $X^{2 n} \subseteq P^{N}$ be a smooth projective variety. Consider the intersection cohomology complex of the local system $R^{2 n - 1} π_{*} Q$ , where $π$ denotes th…

math.AG2020

On the topology of a resolution of isolated singularities, II

Vincenzo Di Gennaro, Davide Franco

Let $Y$ be a complex projective variety of dimension $n$ with isolated singularities, $π : X \to Y$ a resolution of singularities, $G := π^{- 1} (Sing (Y))$ the exceptional…

math.AG2016

A speciality Theorem for curves in $P^{5}$ contained in Noether-Lefschetz general fourfolds

Vincenzo Di Gennaro, Davide Franco

Let $C \subset P^{r}$ be an integral projective curve. We define the speciality index $e (C)$ of $C$ as the maximal integer $t$ such that $h^{0} (C, ω_{C} (- t)) > 0$ , where $ω_{C}$ denote…

math.AG2016

A lower bound for $K_{S}^{2}$

Vincenzo Di Gennaro, Davide Franco

Let $(S, L)$ be a smooth, irreducible, projective, complex surface, polarized by a very ample line bundle $L$ of degree $d > 35$ . In this paper we prove that $K^2_…

math.AG2015★ 8 cited

Néron-Severi group of a general hypersurface

Vincenzo Di Gennaro, Davide Franco

In this paper we extend the well known theorem of Angelo Lopez concerning the Picard group of the general space projective surface containing a given smooth projective curve, to th…

math.AG2014

Algebraic versus homological equivalence for singular varieties

Vincenzo Di Gennaro, Davide Franco, Giambattista Marini

Let $Y \subseteq P^{N}$ be a possibly singular projective variety, defined over the field of complex numbers. Let $X$ be the intersection of $Y$ with $h$ general hypersurfaces…

Intersection cohomology and Severi's varieties

On the topology of a resolution of isolated singularities, II

A speciality Theorem for curves in P5 contained in Noether-Lefschetz general fourfolds

A lower bound for KS2​

Néron-Severi group of a general hypersurface

Algebraic versus homological equivalence for singular varieties

A speciality Theorem for curves in $P^{5}$ contained in Noether-Lefschetz general fourfolds

A lower bound for $K_{S}^{2}$