On the Topology of Birational Minimal Models

Mathematics – Algebraic Geometry

Scientific paper

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17 pages, Plain TeX file. Reported in the Differential Geometry Seminar at Harvard University in November 1997. To appear in J

Scientific paper

We show that birational smooth complex projective varieties with numerically
effective canonical bundles along the exceptional loci have the same Betti
numbers. In particular, birational smooth minimal models share the same Betti
numbers. Our methods indicate a link between $p$-adic measure and the minimal
model theory.

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