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On polarized normal surfaces. (English) Zbl 0635.14016

A polarized normal surface consists of a normal projective surface Y over \({\mathbb{C}}\) and an ample Cartier divisor H on Y. In Math. Ann. 275, 71-80 (1986; Zbl 0579.14017), M. Reid proves a structure theorem in the case where Y is a smooth and birationally ruled surface. In the present paper the author reformulates Reid’s theorem and proves a more general theorem where Y is normal with canonical divisor \(K_ Y\) not pseudoeffective. He also proves a classification theorem of extremal rational curves on normal surfaces with \(K_ Y\) not pseudoeffective which he uses in the proof of his main theorem.
Reviewer: A.Papantonopoulou

MSC:

14J10 Families, moduli, classification: algebraic theory
14C20 Divisors, linear systems, invertible sheaves
14H45 Special algebraic curves and curves of low genus
14J25 Special surfaces
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References:

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