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The Horace Method for Error-Correcting Codes
  • E. Ballico, C. Fontanari
  • Mathematics, Computer Science
  • Applicable Algebra in Engineering, Communication…
  • 6 June 2006
We apply the so-called Horace method for zero-dimensional schemes to error-correcting codes on complete intersections. Expand
On postulation of curves in ℙ4
Linear subspaces of matrices associated to a Ferrers diagram and with a prescribed lower bound for their rank
Abstract Fix a field K, a subset P ⊆ { 1 , … , k } × { 1 , … , m } and an integer δ ≤ min ⁡ { k , m } . Let C ( m , k , P , K ) be the vector space of all k × m matrices with entries a i , j = 0 if (Expand
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. WeExpand
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.
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 thatExpand
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 planeExpand
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 belongingExpand
Here we give sufficient conditions for the existence of an α-stable (for all α > 0) coherent system (i.e. a vector bundle together with a linear subspace of its global sections) of type (d,n,k), k >Expand