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Qi Zhang

University of Missouri-Columbia



On projective varieties with numerically effective anti-canonical divisor



September 19, 2012
3:00pm    PGH 646



Abstract
 

A projective variety \(X\) over an algebraically closed field \(k\) is the zero-locus of some finite family of homogeneous polynomials with coefficients in \(k\). It turns out that the geometrical (topological) properties of a projective variety are closely related to its algebraic structure of the meromorphic functions — the Kodaira dimension. In this talk, we shall discuss some recent development on the projective varieties with non-positive Kodaira dimension, in particular, the varieties with numerically effective anti-canonical divisor.








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