Some Inequalities for Kodaira-Iitaka Dimension on Subvarieties

Details Some Inequalities for Kodaira-Iitaka Dimension on Subvarieties Some Inequalities for Kodaira-Iitaka Dimension on Subvarieties

2009-10-22

arxiv.org/abs/0910.4235v1

Mathematics

Algebraic Geometry

21 pages, extends the results of arXiv:0812.3454

Scientific paper

This paper generalizes the easy addition formula. Given a normal variety $X$
with an invertible sheaf $L$, inequalities are found bounding $\ka(X,L)$ from
above based on the behavior of $L$ restricted to a subvariety or to a pair of
"positive" intersecting subvarieties.

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