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Generalized Adjunction ofk-Very Ample Vector Bundles on Algebraic Surfaces II

Kazuyoshi Takahashi

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Abstract

We study the k-very ampleness of the adjoint bundle KS + det E associated to a (k — 1)-very ample vector bundle E with degree greater than or equal to 4k + 5 on an algebraic surface S. We classify polarized surfaces (S, E) which the k-very ampleness of KS + det E fails.

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What this paper is about

We study the k-very ampleness of the adjoint bundle KS + det E associated to a (k — 1)-very ample vector bundle E with degree greater than or equal to 4k + 5 on an algebraic surface S. We classify polarized surfaces (S, E) which the k-very ampleness of KS + det E fails.

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Available abstract

We study the k-very ampleness of the adjoint bundle KS + det E associated to a (k — 1)-very ample vector bundle E with degree greater than or equal to 4k + 5 on an algebraic surface S. We classify polarized surfaces (S, E) which the k-very ampleness of KS + det E fails.

Key concepts: Adjunction, Vector bundle, Mathematics, Ample line bundle, Algebraic number, Pure mathematics, Surface (topology), Algebra over a field

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