Chern Classes of Birational Varieties
نویسنده
چکیده
Let φ : V 99K W be a birational map between smooth algebraic varieties which does not change the canonical class (in the sense of Batyrev, [Bat99]). We prove that the total homology Chern classes of V and W are push-forwards of the same class from a resolution of indeterminacies of φ. For example, it follows that the push-forward of the total Chern class of a crepant resolution of a singular variety is independent of the resolution.
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تاریخ انتشار 2004