K-equivalence in Birational Geometry and Characterizations of Complex Elliptic Genera

Details K-equivalence in Birational Geometry and Characterizations of Complex Elliptic Genera K-equivalence in Birational Geometry and Characterizations of Complex Elliptic Genera

2001-03-09

arxiv.org/abs/math/0103063v1

J. Algebraic Geometry 12 (2003), no. 2, 285-306

Mathematics

Algebraic Geometry

23 pages. LaTeX file. To appear in J. Algebraic Geometry

Scientific paper

We show that for smooth complex projective varieties the most general
combinations of chern numbers that are invariant under the K-equivalence
relation consist of the complex elliptic genera. Combined with a recent result
of Totaro, we deduce that up to complex cobordism any K-equivalence can be
decomposed into a sequence of classical flops.

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