An asymptotic very ampleness theorem for blowings-up of smooth varieties at general points

DOI10.1007/BF02941521zbMath1065.14021OpenAlexW2053780436MaRDI QIDQ1766161

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Publication date: 28 February 2005

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02941521

zbMATH Keywords

embeddingsvery ample linear system

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Embeddings in algebraic geometry (14E25) Projective techniques in algebraic geometry (14N05) Classical problems, Schubert calculus (14N15)

Cites Work

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• Very ample linear systems on blowings-up at general points of smooth projective varieties.
• Very ample line bundles on blown-up projective varieties
• An asymptotic vanishing theorem for generic unions of multiple points
• An asymptotic higher order very ampleness theorem for blowings-up of projective spaces at general points
• A brief proof of a maximal rank theorem for generic double points in projective space
• On projective embeddings of generic rational surfaces
• Some Very Ample and Base Point Free Linear Systems on Generic Rational Surfaces
• Very Ample Linear Systems on Blowings-Up at General Points of Projective Spaces

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