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.
On threefolds admitting a trigonal curve as abstract complete intersection / Del Centina A.; Gimigliano A.. - In: ANNALI DELL'UNIVERSITÀ DI FERRARA. SEZIONE 7: SCIENZE MATEMATICHE. - ISSN 0430-3202. - STAMPA. - 49:1(2003), pp. 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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