Displaying similar documents to “An arithmetic analogue of Clifford's theorem”

Vanishing of sections of vector bundles on 0-dimensional schemes

Edoardo Ballico (1999)

Commentationes Mathematicae Universitatis Carolinae

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Here we give conditions and examples for the surjectivity or injectivity of the restriction map H 0 ( X , F ) → H 0 ( Z , F | Z ) , where X is a projective variety, F is a vector bundle on X and Z is a “general” 0 -dimensional subscheme of X , Z union of general “fat points”.

Normal generation of line bundles on a general k -gonal algebraic curve

Edoardo Ballico, Changho Keem, Seonja Kim (2003)

Bollettino dell'Unione Matematica Italiana

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We prove that a very ample special line bundle L of degree d > 3 ⁢ g - 1 / 2 on a general k -gonal curve is normally generated if the degree of the base locus of its dual bundle K ⁢ L - 1 does not exceed c ⁢ k - 2 / 2 , where c := d - 3 ⁢ g - 1 / 2 .

Some remarks on Set-theoretic Intersection Curves in P 3

Roberto Paoletti (1996)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Motivated by the notion of Seshadri-ampleness introduced in [11], we conjecture that the genus and the degree of a smooth set-theoretic intersection C ⊂ P 3 should satisfy a certain inequality. The conjecture is verified for various classes of set-theoretic complete intersections.