E. Ballico

activity

19932025

most citedDecomposition of homogeneous polynomials with low rank

48 citations · 399 across the 140 of their papers we have counts for

collaborators

Showing 2016Show all

11 papers · 1 filter

math.AC2016

The Hermitian null-range of a matrix over a finite field

E. Ballico

Let $q$ be a prime power. For $u = (u_{1}, \dots, u_{n}), v = (v_{1}, \dots, v_{n}) \in F_{q^{2}}^{n}$ let $⟨ u, v ⟩ := \sum_{i = 1}^{n} u_{i}^{q} v_{i}$ be the Hermitian form of $\mathbb…

math.AC2016

On the convexity of numerical range over certain fields

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.SG2016★ 6 cited

A Lie theoretical construction of a Landau-Ginzburg model without projective mirrors

Edoardo Ballico, Severin Barmeier, Elizabeth Gasparim +2

We describe the Fukaya-Seidel category of a Landau-Ginzburg model LG(2) for the semisimple adjoint orbit of sl(2,C). We prove that this category is equivalent to a full triangulate…

math.AG2016

Logarithmic co-Higgs bundles

Edoardo Ballico, Sukmoon Huh

In this article we introduce a notion of logarithmic co-Higgs sheaves associated to a simple normal crossing divisor on a projective manifold, and show their existence with nilpote…

math.AG2016

Compactifications of Adjoint Orbits and their Hodge Diamonds

Edoardo Ballico, Brian Callander, Elizabeth Gasparim

A recent theorem of [GGSM1] showed that adjoint orbits of semisimple Lie algebras have the structure of symplectic Lefschetz fibrations. We investigate the behaviour of their fibre…

math.AG2016

Finiteness of rational curves of degree 12 on a general quintic threefold

Edoardo Ballico, Claudio Fontanari

We prove the following statement, predicted by Clemens' conjecture: A generic quintic threefold contains only finitely many smooth rational curves of degree 12.