E. Ballico

activity

19982026

most citedTensor ranks on tangent developable of Segre varieties

30 citations · 37 across the 10 of their papers we have counts for

collaborators

11 papers

math.AG2026

On the strong base locus of a projective variety

Edoardo Ballico, Maria Chiara Brambilla, Pierpaola Santarsiero

We introduce and study the base locus and the strong base locus of a projective variety X. The base locus of X parametrizes configurations of smooth points of X where the span of t…

math.AG2026

Generic flatness of the cohomology of thickenings

Edoardo Ballico, Yairon Cid-Ruiz, Anurag K. Singh

We prove a generic flatness result for the cohomology of thickenings of a projective scheme that is smooth over a Noetherian domain containing a field of characteristic zero. Our s…

math.AG2026

Higher rank bundles on Hopf surfaces

Edoardo Ballico, Elizabeth Gasparim

We show that all filtrable bundles on a Hopf surface $X$ must have jumps and we prove the existence of filtrable stable bundles on $X$ with any value of $c_{2} > 0$ . On a somewhat oppo…

math.AG2025

Irregular bundles on Hopf surfaces

Edoardo Ballico, Elizabeth Gasparim

We discuss the hypersurfaces of the moduli spaces of rank $2$ vector bundles on a classical Hopf surface formed by irregular bundles.

hep-th2025

F-theory with hyperelliptic fibrations

E. Ballico, E. Gasparim, M. P. García del Moral +1

We discuss the role of hyperelliptic fibrations in F-theory. For each even integer $n$ we give a noncompact Calabi--Yau threefold $X$ containing a hyperelliptically fibered surface…

math.AC2016

On the numerical range of square matrices with coefficients in a degree 2 Galois field extension

E. Ballico

Let $L$ be a degree $2$ Galois extension of the field $K$ and $M$ an $n \times n$ matrix with coefficients in $L$ . Let $⟨, ⟩ : L^{n} \times L^{n} \to L$ be the sesquilinea…

math.AG2016

Some Landau--Ginzburg models viewed as rational maps

E. Ballico, E. Gasparim, L. Grama +1

[GGSM2] showed that height functions give adjoint orbits of semisimple Lie algebras the structure of symplectic Lefschetz fibrations (superpotential of the LG model in the language…

math.AG2013★ 7 cited

Unique decomposition for a polynomial of low rank

E. Ballico, A. Bernardi

Let $F$ be a homogeneous polynomial of degree $d$ in $m + 1$ variables defined over an algebraically closed field of characteristic 0 and suppose that $F$ belongs to the $s$ -th secan…

math.AG2012★ 30 cited

Tensor ranks on tangent developable of Segre varieties

Edoardo Ballico, Alessandra Bernardi

We describe the stratification by tensor rank of the points belonging to the tangent developable of any Segre variety. We give algorithms to compute the rank and a decomposition of…

math.AG2011

Weighted hypersurfaces with either assigned volume or many vanishing plurigenera

E. Ballico, R. Pignatelli, L. Tasin

In this paper we construct, for every n, smooth varieties of general type of dimension n with the first $⌊ \frac{n - 2}{3} ⌋$ plurigenera equal to zero. Hacon-McKernan, T…

math.AG1998

On the minimal free resolution of non-special curves in P^3

E. Ballico

Here we prove that the minimal free resolution of a general space curve of large degree (e.g. a general space curve of degree d and genus g with d g+3, except for finitely many pai…