The Lefschetz trace formula for algebraic stacks

DOI10.1007/BF01232427zbMath0792.14005MaRDI QIDQ690210

Kai A. Behrend

Publication date: 25 July 1994

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144097

zbMATH Keywords

arithmetic FrobeniusDeligne-Mumford stacksalgebraic stackalgebraic group acting on an algebraic spaceLefschetz trace formula

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Finite ground fields in algebraic geometry (14G15) Generalizations (algebraic spaces, stacks) (14A20) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

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Cites Work

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• Versal deformations and algebraic stacks
• The irreducibility of the space of curves of a given genus
• Algebraic spaces
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
• Algebraic Groups Over Finite Fields