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Home » Graduate Student Seminar: " Kodaira-Iitaka dimension on subvarieties"

Seminar

Graduate Student Seminar: " Kodaira-Iitaka dimension on subvarieties" February 11, 2009
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Location: MSRI: Simons Auditorium
Speaker(s) Dr. Travis Kopp
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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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