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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Resultants and the algebraicity
of the join pairing on Chow varieties


Author: Judith Plümer
Journal: Trans. Amer. Math. Soc. 349 (1997), 2187-2209
MSC (1991): Primary 14C25; Secondary 55N20
MathSciNet review: 1407499
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Abstract: The Chow/Van der Waerden approach to algebraic cycles via resultants is used to give a purely algebraic proof for the algebraicity of the complex suspension. The algebraicity of the join pairing on Chow varieties then follows. The approach implies a more algebraic proof of Lawson's complex suspension theorem in characteristic 0. The continuity of the action of the linear isometries operad on the group completion of the stable Chow variety is a consequence.


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Additional Information

Judith Plümer
Affiliation: Universität Osnabrück, Fachbereich Mathematik/Informatik, 49069 Osnabrück, Germany
Email: judith@mathematik.uni-osnabrueck.de

DOI: http://dx.doi.org/10.1090/S0002-9947-97-01888-6
PII: S 0002-9947(97)01888-6
Keywords: Resultants, Chow varieties, join pairing, infinite loop spaces
Received by editor(s): May 26, 1995
Additional Notes: This paper is an outgrowth of my diploma thesis \cite{jp}. I am indebted to R. Schwänzl for suggesting the problem to me, to P. Lima-Filho for calling my attention to \cite{barl2}, and to the DFG for support.
Article copyright: © Copyright 1997 American Mathematical Society