Add to ORKGLet F be a normalized rank 2 re°exive sheaf on P3 with Chern classes c1; c2; c3. Let ® be the least integer such that 0 6 = H0F(®) and ¯ be the smallest integer such that H0F(n) has sections whose zero scheme is a curve for all n ¸ ¯. We show that if T0 is the largest root of the cubic polynomial P (T) = T 3 ¡ (6c2 + 6®c1 + 6®2 + 1)T + 3(2®+ c1)(c2 + c1®+ ®2) then ¯ ∙ T0¡®¡c1¡1. There are applications to the smallest degree of a surface containing a curves which are the zero schemes of sections of H0F(®). Written with the support of the University Ministry funds
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Abstract. Let X be an integral projective curve and L 2 Pica(X), M 2 Picb(X) with h1(X, L) D h1(X, M...
AbstractThere exist a natural correspondence, determined by classical osculation duality, between nu...
By using a computer we are able to pose a conjecture for the expected number of generators of the id...
If $F$ is a rank two normalized reflexive sheaf on $P^3$ with first chern class 0 or -1, it is possi...
Let $S$ be a K3 surface, $C$ a smooth curve on $S$ with $\mathcal{O} _S(C)$ ample, and $A$ a base-po...
Let Y be a reduced irreducible projective curve of arithmetic genus g ≥ 2 with at most ordinary node...
Let $S$ be a smooth algebraic surface in $mathbb{P}^3(mathbb{C})$. A curve $C$ in $S$ has a cohomolo...
3noFor any locally free coherent sheaf on a fixed smooth projective curve, we study the class, in th...
Let C be a Brill–Noether–Petri curve of genus g >12. We prove that C lies on a polarised K3 surface,...
AbstractThis paper continues the study of arithmetically Buchsbaum curves in P3 by focusing on their...
AbstractLet X be the surface obtained by blowing up general points p1,…,pn of the projective plane o...
Let X be the blow up of the points of transverse intersection of plane curves P and Q. Let $F\sb{d,m...
Abstract. Using a construction of Barth and Verra that realizes torsion bundles on sections of speci...
Let $A$ be a local noetherian ring and $N$ be a locally sheaf on the projective space $P^3_A$ : one ...
Many classical results in algebraic geometry arise from investigating some extremal behaviors that a...
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AbstractThere exist a natural correspondence, determined by classical osculation duality, between nu...
By using a computer we are able to pose a conjecture for the expected number of generators of the id...