V. Di Gennaro

activity

20192024

collaborators

5 papers

math.AG2024

On the genus of projective curves not contained in hypersurfaces of given degree, II

Vincenzo Di Gennaro, Giambattista Marini

Fix integers $r \geq 4$ and $i \geq 2$ . Let $C$ be a non-degenerate, reduced and irreducible complex projective curve in $P^{r}$ , of degree $d$ , not contained in a hypersurface…

math.AG2022

Nilpotent cone and bivariant theory

Vincenzo Di Gennaro, Davide Franco, Carmine Sessa

We exhibit a new proof, relying on bivariant theory, that the nilpotent cone is rationally smooth. Our approach enables us to prove a slightly more general statement.

math.AG2022

On the genus of projective curves not contained in hypersurfaces of given degree

Vincenzo Di Gennaro

Fix integers $r \geq 4$ and $i \geq 2$ (for $r = 4$ assume $i \geq 3$ ). Assuming that the rational number $s$ defined by the equation $(2 i + 1) s + (i + 1) = (i r + i)$ is an intege…

math.AG2021

Bivariant class of degree one

Vincenzo Di Gennaro, Davide Franco, Carmine Sessa

Let $f : X \to Y$ be a projective birational morphism, between complex quasi-projective varieties. Fix a bivariant class $θ\in H^0(X\stackrel{f}\to Y)\cong Hom_{D^{b}_{c}(Y)}(Rf_*\mat…

math.AG2019

A remark on the genus of curves in $P^{4}$