Twisted jets, motivic measure and orbifold cohomology

Fuente: arXiv
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Autore principale: Yasuda, Takehiko
Natura: Preprint
Pubblicazione: 2001
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author Yasuda, Takehiko
author_facet Yasuda, Takehiko
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_math_0110228
institution arXiv
publishDate 2001
record_format arxiv
spellingShingle Twisted jets, motivic measure and orbifold cohomology
Yasuda, Takehiko
Algebraic Geometry
14F43, 14E15
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.
title Twisted jets, motivic measure and orbifold cohomology
topic Algebraic Geometry
14F43, 14E15
url https://arxiv.org/abs/math/0110228