Displaying similar documents to “Effective divisors of higher rank on a curve and the Siegel formula”

On rank 2 semistable vector bundles over an irreducible nodal curve of genus 2

Sonia Brivio (1998)

Bollettino dell'Unione Matematica Italiana

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Sia C una curva irriducibile nodale di genere aritmetico p a = 2 . In queste note vogliamo mostrare come il sistema lineare delle quadriche, contenenti un opportuno modello proiettivo della curva, permette di descrivere i fibrati vettoriali semistabili, di rango 2 , su C .

Effective nonvanishing, effective global generation

Mark Andrea A. De Cataldo (1998)

Annales de l'institut Fourier

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We prove a multiple-points higher-jets nonvanishing theorem by the use of local Seshadri constants. Applications are given to effectivity problems such as constructing rational and birational maps into Grassmannians, and the global generation of vector bundles.

The subbundles of decomposable vector bundles over on elliptic curve.

Edoardo Ballico (1998)

Collectanea Mathematica

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Let C be an elliptic curve and E, F polystable vector bundles on C such that no two among the indecomposable factors of E + F are isomorphic. Here we give a complete classification of such pairs (E,F) such that E is a subbundle of F.