On the Finite Field Nullstellensatz for the intersection of two quadric hypersurfaces.
On the non-defectivity of non weak-defectivity of Segre-Veronese embeddings of products of projective spaces.
On reflexive sheaves with low sectional genera on threefolds.
Very ample line bundles on blown-up projective varieties.
Weighted Gaussian maps.
Qregularity and tensor products of vector bundles on smooth quadric hypersurfaces.
Moduli of Prym curves.
A Remark on a Theorem by Fornaess and Narasimhan About the Levi Problem.
On ample and spanned vector bundles with zero ...-genera.
On the dual variety in characteristic 2
Real Moduli of Complex Objects: Surfaces and Bundles.
On Ample and spanned Rank-3 Bundles with Low Chern numbers.
Complete families of rank 2 stable vector bundles on algebraic surfaces.
On the components of moduli of simple sheaves on a surface.
On rank two vector bundles on an algebraic surface.
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 ofP n is not weakly (k−1)-defective, i.e. for a general S⊃P n such that #(S) = k+1 the projective space | I 2S (x)| of all degree t hypersurfaces ofP n singular at each point of S has dimension (n/n+x )−1− k(n+1) (proved by Alexander and Hirschowitz) and a general F∈| I 2S (x)| has an ordinary double point at each P∈ S and Sing (F)=S.
Components with the expected codimension in the moduli scheme of stable spin curves
Here we study the Brill-Noether theory of “extremal” Cornalba’s theta-characteristics on stable curves C of genus g, where “extremal” means that they are line bundles on a quasi-stable model of C with #(Sing(C)) exceptional components
On the real X -ranks of points of P n (R) with respect to a real variety X ⊂ P n
Let X ⊂ Pn be an integral and non-degenerate m-dimensional variety defined over R. For any P ∈ Pn(R) the real X-rank r x,R(P) is the minimal cardinality of S ⊂ X(R) such that P ∈ . Here we extend to the real case an upper bound for the X-rank due to Landsberg and Teitler.
Postulation and gonality for projective curves
Fibrati principali su spazi complessi -completi
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