Twisted jets, motivic measure and orbifold cohomology

Details Twisted jets, motivic measure and orbifold cohomology Twisted jets, motivic measure and orbifold cohomology

2001-10-20

arxiv.org/abs/math/0110228v5

Mathematics

Algebraic Geometry

34 pages, to appear in Compositio Mathematica

Scientific paper

We introduce the notion of twisted jet on a Deligne-Mumford stack. and study the motivic measure on the space of the twisted $\infty$-jets on a smooth Deligne-Mumford stack. As an application, we prove that two birational minimal models with Gorenstein quotient singularities have the same orbifold cohomology with Hodge structure.

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