K-equivalence in Birational Geometry and Characterizations of Complex Elliptic Genera
Algebraic Geometry
2011-10-11 v1 Algebraic Topology
Abstract
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.
Keywords
Cite
@article{arxiv.math/0103063,
title = {K-equivalence in Birational Geometry and Characterizations of Complex Elliptic Genera},
author = {Chin-Lung Wang},
journal= {arXiv preprint arXiv:math/0103063},
year = {2011}
}
Comments
23 pages. LaTeX file. To appear in J. Algebraic Geometry