On Small Contraction Maps Of Projective Varieties Odd Dimensional

Posted on:2006-09-20

Degree:Master

Type:Thesis

Country:China

Candidate:X Y Feng

Full Text:PDF

GTID:2120360155970827

Subject:Basic mathematics

Abstract/Summary:

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Let f_R:Xâ†’Y be a small contraction of an extremal ray on smooth projective varieties of 2k-1 dimension.Suppose the dimension of theexception locus E is k,it is proved that E is a disjoint union of projective spaces under some conditions.

Keywords/Search Tags:

projective variety, small contraction map, exception locus, extremal ray

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