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arxiv: math/0306058 · v2 · submitted 2003-06-03 · 🧮 math.AG

Projective normality of abelian surfaces of type (1,2d)

classification 🧮 math.AG
keywords abelianembeddednormalityprojectivesurfacestypeamplebundle
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We show that an abelian surface embedded in P^N by a very ample line bundle L of type (1,2d) is projectively normal if and only if d>=4. This completes the study of the projective normality of abelian surfaces embedded by complete linear systems.

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