Abstract
Let (X, L) be a polarized 3-fold over the complex number field. In [Fk3], we proved thatg(L)≥q(X) ifh 0(L)≥2 and moreover we classified (X, L) withh 0(L)≥3 andg(L)=q(X), whereg(L) is the sectional genus of (X, L) andq(X)=dimH 1(O X ) the irregularity ofX. In this paper we will classify polarized 3-folds (X, L) withh 0(L)≥4 andg(L)=q(X)+1 by the method of [Fk3].
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Fukuma, Y. On polarized 3-folds (X, L) withg(L)=q(X)+1 andh 0(L)≥4. Ark. Mat. 35, 299–311 (1997). https://doi.org/10.1007/BF02559971
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DOI: https://doi.org/10.1007/BF02559971