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19932025
most citedDecomposition of homogeneous polynomials with low rank

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

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Showing 2012 · math.AGShow all

15 papers · 2 filters

math.AG2012

On higher rank globally generated vector bundles over a smooth quadric threefold

Edoardo Ballico, Sukmoon Huh, Francesco Malaspina

We give a complete classification of globally generated vector bundles of rank 3 on a smooth quadric threefold with and extend the result to arbitrary higher rank case.…

math.AG2012

Embedding Suzuki curves in

Edoardo Ballico, Alberto Ravagnani

Here we study the projective geometry of smooth models of plane Suzuki curves . The knowledge of a system of generators for the Weierstrass semigr…

math.AG2012★ 1 cited

On the minimum distance and the minimum weight of Goppa codes from a quotient of the Hermitian curve

Edoardo Ballico, Alberto Ravagnani

In this paper we study evaluation codes arising from plane quotients of the Hermitian curve, defined by affine equations of the form , being a prime power and a…

math.AG2012★ 18 cited

Globally generated vector bundles of rank 2 on a smooth quadric threefold

Edoardo Ballico, Sukmoon Huh, Francesco Malaspina

We investigate the existence of globally generated vector bundles of rank 2 with on a smooth quadric threefold and determine their Chern classes. As an automatic conseq…

math.AG2012★ 2 cited

Curvilinear schemes and maximum rank of forms

Edoardo Ballico, Alessandra Bernardi

We define the \emph{curvilinear rank} of a degree form in variables as the minimum length of a curvilinear scheme, contained in the -th Veronese embedding of $\mat…

math.AG2012

On the stratification by -ranks of a linearly normal elliptic curve

Edoardo Ballico

Let be a linearly normal elliptic curve. For any the -rank of is the minimal cardinality of a set such that $P\in…