We study smooth projective varieties X 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.
Del Centina A., Gimigliano A. (2001). On threefolds admitting a bielliptic curve as abstract complete intersection. ADVANCES IN GEOMETRY, 1(3), 245-261.
On threefolds admitting a bielliptic curve as abstract complete intersection
Gimigliano A.
2001
Abstract
We study smooth projective varieties X 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.File in questo prodotto:
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