Let X be a smooth complex projective variety, let (W,H) be a Del Pezzo manifold, and let p:X \to W be a double covering. Then the very ampleness of p^*H is investigated. This procedure gives several new examples of polarized manifolds possessing bielliptic curves as their curve sections.

Double covers of Del Pezzo manifolds and bielliptic curve sections / A. Lanteri, H. Maeda - In: Interactions of Classical and Numerical Algebraic Geometry / [a cura di] D.J. Bates, G.M. Besana, S. Di Rocco, C.W. Wampler. - Providence : American Mathematical Society, 2009. - ISBN 978-0-8218-4746-6. - pp. 265-282

Double covers of Del Pezzo manifolds and bielliptic curve sections

A. Lanteri
Primo
;
2009

Abstract

Let X be a smooth complex projective variety, let (W,H) be a Del Pezzo manifold, and let p:X \to W be a double covering. Then the very ampleness of p^*H is investigated. This procedure gives several new examples of polarized manifolds possessing bielliptic curves as their curve sections.
Double cover ; Del Pezzo manifold ; very ampleness ; bielliptic curve
Settore MAT/03 - Geometria
2009
Book Part (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/67805
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