E. Ballico

Publications970
h-index20
Citations2,680
Highly Influential Citations99
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On the weak non-defectivity of veronese embeddings of projective spaces
Fix integers n, x, k such that n≥3, k>0, x≥4, (n, x)≠(3, 4) and k(n+1)<(nn+x). Here we prove that the order x Veronese embedding ofPn is not weakly (k−1)-defective, i.e. for a general S⊃Pn such that…
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The Horace Method for Error-Correcting Codes
TLDR
Here the so-called Horace method for zero-dimensional schemes to error-correcting codes on complete intersections is applied and sharper estimates on the minimum distance are obtained.
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On postulation of curves in ℙ4
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Weierstrass Multiple Loci of n-Pointed Algebraic Curves
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Linear subspaces of matrices associated to a Ferrers diagram and with a prescribed lower bound for their rank
  • E. Ballico
  • Mathematics, Computer Science
  • 15 October 2015
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Very ample line bundles on blown-up projective varieties
Let X be the blowing - up of the smooth projective variety V .H ere we study when a line bundle M onX is very ample and, if very ample, the k-very ampleness of the induced embedding of X.
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Moduli of Prym curves
Here we focus on the compactification of the moduli space of curves of genus g together with an unramified double cover, constructed by Arnaud Beauville in order to compactify the Prym mapping. We…
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Tensor ranks on tangent developable of Segre varieties
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 a tensor belonging…
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Non-reflexive projective curves of low degree
This paper deals with the classification of projective curves of low degree, defined over fileds of positive characteristic, which have exceptional tangential behaviour. It also describes plane…
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Embeddings of general curves in projective spaces: the range of the quadrics
Let $$ C \subset {\mathbb{P}^r} $$ be a general embedding of prescribed degree of a general smooth curve with prescribed genus. Here we prove that either $$ {h^0}\left(…
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