Algebraic and Geometric Topology 4 (2004), paper no. 8, pages 121-131.

Smith Theory for algebraic varieties

Peter Symonds

Abstract. We show how an approach to Smith Theory about group actions on CW-complexes using Bredon cohomology can be adapted to work for algebraic varieties.

Keywords. Smith Theory, Bredon cohomology, coefficient system, variety

AMS subject classification. Primary: 57S17. Secondary: 14F20.

DOI: 10.2140/agt.2004.4.121

E-print: arXiv:math.AT/0407077

Submitted: 19 December 2002. (Revised: 5 March 2004.) Accepted: 15 March 2004. Published: 15 March 2004.

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Peter Symonds
Department of Mathematics, UMIST
PO Box 88, Manchester M60 1QD, UK

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