Seminar
| Parent Program: | -- |
|---|---|
| Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
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Secondary Mathematics Subject Classification
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Kodaira-Iitaka dimension, \ka(X,L), is an important measurement of the positivity of a line bundle, L, on a complete variety, X. Given an algebraic fiber space, f:X -> Y, and a line bundle on X, the following inequality is well known: \ka(X, L) \leq \ka(X_y, L_y) + dim Y, where y is a general point of Y. We will discuss this inequality (called easy addition) and look at one way of generalizing it to the case of an arbitrary smooth subvariety A lying in a smooth variety X.
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