M. Mella

activity

19962022

most citedExistence of good divisors on Mukai varieties

58 citations · 200 across the 29 of their papers we have counts for

collaborators

33 papers

math.AG2022★ 1 cited

Bronowski's conjecture and the identifiability of projective varieties

Alex Massarenti, Massimiliano Mella

Let $X \subset P^{hn + h - 1}$ be an irreducible and non-degenerate variety of dimension $n$ . The Bronowski's conjecture predicts that $X$ is $h$ -identifiable if and only if the…

math.AG2022

Equivalent birational embedding IV: reduced varieties

Massimiliano Mella

Two reduced projective schemes are said to be Cremona equivalent if there is a Cremona map that maps one in the other. In this paper I revise some of the known results about Cremon…

math.AG2021

On the birational geometry of conic bundles over the projective space

Alex Massarenti, Massimiliano Mella

Let $π : Z \to P^{n - 1}$ be a general minimal $n$ -fold conic bundle with a hypersurface $B_{Z} \subset P^{n - 1}$ of degree $d$ as discriminant. We prove that if $d\…

math.AG2021

The minimal Cremona degree of quartic surfaces

Massimiliano Mella

Two birational projective varieties in $P^{n}$ are Cremona Equivalent if there is a birational modification of $P^{n}$ mapping one onto the other. The minimal Cremona degree of $X\subs…

math.AG2020

Tangential weak defectiveness and generic identifiability

Alex Casarotti, Massimiliano Mella

We investigate the uniqueness of decomposition of general tensors $T \in C^{n_{1} + 1} \otimes \dots \otimes C^{n_{r} + 1}$ as a sum of tensors of rank $1$ . This is done ex…

math.AG2019

From non Defectivity to Identifiability

Alex Casarotti, Massimiliano Mella

A projective variety $X \subset P^{N}$ is $h$ -identifiable if the generic element in its $h$ -secant variety uniquely determines $h$ points on $X$ . In this paper we propose an…