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 theirs such that they intersect along a trigonal curve C. We give a classification of such threefolds under some hypotheses on the degree of the two embeddings given by L, M.
Del Centina, A., Gimigliano, A. (2003). On threefolds admitting a trigonal curve as abstract complete intersection. ANNALI DELL'UNIVERSITÀ DI FERRARA. SEZIONE 7: SCIENZE MATEMATICHE, 49(1), 285-299 [10.1007/BF02844920].
On threefolds admitting a trigonal curve as abstract complete intersection
Gimigliano A.
2003
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 theirs such that they intersect along a trigonal curve C. We give a classification of such threefolds under some hypotheses on the degree of the two embeddings given by L, M.File in questo prodotto:
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