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Projective normality and the generation of the ideal of an Enriques surface
-
Andreas Leopold Knutsen
and
Angelo Felice Lopez
Published/Copyright:
July 3, 2015
Abstract
We give necessary and sufficient criteria for a smooth Enriques surface S ⊂ ℙr to be scheme-theoretically an intersection of quadrics. Moreover we prove in many cases that, when S contains plane cubic curves, the intersection of the quadrics containing S is the union of S and the 2-planes spanned by the plane cubic curves. We also give a new (very quick) proof of the projective normality of S if deg S ≥ 12.
Keywords : Enriques surface; projective normality
Received: 2013-9-24
Published Online: 2015-7-3
Published in Print: 2015-7-1
© 2015 by Walter de Gruyter Berlin/Boston
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- A natural extension of the Young partition lattice
- Pencils of small degree on curves on unnodal Enriques surfaces
- Michael’s Selection Theorem in a semilinear context
- Quasi-simple Lie groups as multiplication groups of topological loops
- Some spectral results on Kakeya sets
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Articles in the same Issue
- Frontmatter
- A natural extension of the Young partition lattice
- Pencils of small degree on curves on unnodal Enriques surfaces
- Michael’s Selection Theorem in a semilinear context
- Quasi-simple Lie groups as multiplication groups of topological loops
- Some spectral results on Kakeya sets
- Projective normality and the generation of the ideal of an Enriques surface
- Topological contact dynamics I: symplectization and applications of the energy-capacity inequality
- Torsion-free G*2(2)-structures with full holonomy on nilmanifolds
