Twisted jets, motivic measures and orbifold cohomology

Takehiko Yasuda

研究成果: Article査読

37 被引用数 (Scopus)

抄録

We introduce the notion of twisted jets. For a Deligne-Mumford stack X of finite type over ℂ, 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 ℂ[[t]]. We study a 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 as a Hodge structure.

本文言語English
ページ(範囲)396-422
ページ数27
ジャーナルCompositio Mathematica
140
2
DOI
出版ステータスPublished - 2004 3月

ASJC Scopus subject areas

  • 代数と数論

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