Twisted Jet, Motivic Measure and Orbifold Cohomology
نویسنده
چکیده
We introduce the notion of twisted jet. For a DeligneMumford stack X of finite type over an algebraically closed field k, a twisted ∞-jet on X is a representable morphism D → X such that D is a smooth Deligne-Mumford stack with the coarse moduli space Spec k[[t]]. We study the motivic measure on the space of the twisted ∞-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. Our main results are Theorem 0.4 and 0.5.
منابع مشابه
Twisted Jets, Motivic Measure and Orbifold Cohomology
We introduce the notion of twisted jets. For a DeligneMumford stack X of finite type over C, a twisted ∞-jet on X is a representable morphism D → X such that D is a smooth DeligneMumford stack with the coarse moduli space SpecC[[t]]. We study the motivic measure on the space of the twisted ∞-jets on a smooth Deligne-Mumford stack. As an application, we prove that two birational minimal models w...
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