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Original Articles

Ruled surfaces with small class

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Pages 3501-3512 | Received 01 Jan 1996, Published online: 27 Jun 2007
 

Abstract

Some progress in the study of smooth complex projective ruled surfaces S⊂PNwith low class m is obtained by means of adjunction theory. In particular surfaces of degree d and class m ≤ 2d + 2 are completely classified and the result is extended to higher dimensions.

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