On projective varieties admitting a bielliptic or trigonal curve-section

Andrea Del Centina, Alessandro Gimigliano


We study smooth projective varieties X ⊆ PNof dimension n ≥ 3, such that for some linear (N-n+1)-dimensional space Π ⊆ PN, C=X∩Π is either a bielliptic or a trigonal curve. We give a description of X when deg ≥ 18 and when deg X ≤ 8.

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