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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