Double covers of Pn as very ample divisors

DOI10.1017/S0027763000005055zbMath0820.14005MaRDI QIDQ4698982

Marino Palleschi, Lanteri, Antonio, Andrew John Sommese

Publication date: 17 September 1995

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nmj/1118775534

zbMATH Keywords

adjunction theoryhyperplane sectionsFano 3-foldquadric fibrationsdouble solidsdouble cover as a very ample divisorscrolls over a smooth surfaceVeronese bundles

Mathematics Subject Classification ID

(3)-folds (14J30) Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05) Coverings in algebraic geometry (14E20)

Related Items (5)

Double covers of smooth hyperquadrics as ample and very ample divisors ⋮ Projective manifolds with hyperplane sections being five-sheeted covers of projective space ⋮ Projective manifolds with hyperplane sections being four-sheeted covers of projective space. ⋮ On the Extendability of Projective Varieties: A Survey ⋮ Double Covers of Some Fano Manifolds as Hyperplane Sections

Cites Work

• Hyperplane sections of projective surfaces. I: The adjunction mapping
• Characterizing projective bundles by means of ample divisors
• On the adjunction mapping
• Classification of Fano 3-folds with \(B_ 2 \geq 2\)
• New properties of special varieties arising from adjunction theory
• Projective n-Folds of Log-General Type. I
• On the adjunction theoretic structure of projective varieties
• The adjunction mapping and hyperelliptic divisors on a surface.
• On ample divisors
• On the Geometry of Conic Bundles Arising in Adjunction Theory
• On the nonemptiness of the adjoint linear system of a hyperplane section of a threefold.
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