Modification Systems and Integration in Their Chow Groups

نویسنده

  • PAOLO ALUFFI
چکیده

We introduce a notion of integration on the category of proper birational maps to a given variety X, with value in an associated Chow group. Applications include new birational invariants; comparison results for Chern classes and numbers of nonsingular birational varieties; ‘stringy’ Chern classes of singular varieties; and a zeta function specializing to the topological zeta function. In its simplest manifestation, the integral gives a new expression for ChernSchwartz-MacPherson classes of possibly singular varieties, placing them into a context in which a ‘change-of-variable’ formula holds.

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تاریخ انتشار 2005