Resultants and the algebraicity of the join pairing on Chow varieties
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- by Judith Plümer
- Trans. Amer. Math. Soc. 349 (1997), 2187-2209
- DOI: https://doi.org/10.1090/S0002-9947-97-01888-6
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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.References
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Bibliographic Information
- Judith Plümer
- Affiliation: Universität Osnabrück, Fachbereich Mathematik/Informatik, 49069 Osnabrück, Germany
- Email: judith@mathematik.uni-osnabrueck.de
- Received by editor(s): May 26, 1995
- Additional Notes: This paper is an outgrowth of my diploma thesis [Stabilisierte Chow–Varietäten und die Chernklassenabbildung. Diplomarbeit, Universität Osnabrück (1993)]. I am indebted to R. Schwänzl for suggesting the problem to me, to P. Lima-Filho for calling my attention to [D. Barlet, Preprint (1993)], and to the DFG for support.
- © Copyright 1997 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 349 (1997), 2187-2209
- MSC (1991): Primary 14C25; Secondary 55N20
- DOI: https://doi.org/10.1090/S0002-9947-97-01888-6
- MathSciNet review: 1407499