G. Marini

activity

20052024

most citedTautological Cycles on Jacobian Varieties

2 citations · 4 across the 5 of their papers we have counts for

collaborators

6 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.AG2018

An infinitesimal approach to the study of Cycles on Abelian Varieties

Giambattista Marini

This paper is a work in progress on Bloch's conjecture asserting the vanishing of the Pontryagin product of a $p$ codimensional cycle on an abelian variety by $p + 1$ zero cycles…

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…

math.AG2010

A Griffiths' Theorem for varieties with isolated singularities

Vincenzo Di Gennaro, Davide Franco, Giambattista Marini

By the fundamental work of Griffiths one knows that, under suitable assumption, homological and algebraic equivalence do not coincide for a general hypersurface section of a smooth…

math.AG2005★ 2 cited

Tautological Cycles on Jacobian Varieties

Giambattista Marini

Let C be a complex curve of genus g, let J(C) be its Jacobian and let R(C) be its tautological ring, that is, the group of algebraic cycles modulo algebraic equivalence. We study t…

math.AG2005★ 2 cited

Characterizing Jacobians via flexes of the Kummer variety

E. Arbarello, G. Marini, I. Krichever

Given an abelian variety $X$ and a point $a \in X$ we denote by $< a >$ the closure of the subgroup of $X$ generated by $a$ . Let $N = 2^{g} - 1$ . We denote by $κ: X\to κ(X)\subset\mathbb P^…