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Classification of polarized manifolds of sectional genus two. (English) Zbl 0695.14019

Algebraic geometry and commutative algebra, Vol. I, 73-98 (1988).
[For the entire collection see Zbl 0655.00011.]
This is a continuation of former work of the author [cf. Proc. Japan Acad., Ser. A 62, 69-72 (1986; Zbl 0589.14035)] on n-dimensional compact complex manifolds M together with an ample line bundle L. The sectional genus is defined by \(2g(M,L)-2=(K_ M+(n-1)L)\cdot L^{n-1}\). The paper is concerned with the classification of pairs (M,L) with \(g(M,L)=2\) in the case dim(M)\(\geq 3\). Some parts of the proof are postponed to another paper.
Reviewer: S.Kosarew

MSC:

14J10 Families, moduli, classification: algebraic theory