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On threefolds admitting a bielliptic curve as abstract complete intersection
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January 23, 2006
We study smooth projective varieties X ⊆ ℙN of dimension 3, such that there are two very ample invertible sheaves ℒ, ℳ on X, and there exist two sections of ℒ, ℳ which intersect along a bielliptic curve C. We give a classification of such threefolds X under some hypotheses on the degree of C with respect to the two embeddings given by ℒ, ℳ.
Published Online: 2006-01-23
Published in Print: 2001-08-16
Copyright © 2001 by Walter de Gruyter GmbH & Co. KG
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Articles in the same Issue
- Near hexagons with four points on a line
- SPG systems and semipartial geometries
- On threefolds admitting a bielliptic curve as abstract complete intersection
- The modularity of the Barth--Nieto quintic and its relatives
- Finite presentations for the mapping class group via the ordered complex of curves
Articles in the same Issue
- Near hexagons with four points on a line
- SPG systems and semipartial geometries
- On threefolds admitting a bielliptic curve as abstract complete intersection
- The modularity of the Barth--Nieto quintic and its relatives
- Finite presentations for the mapping class group via the ordered complex of curves