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Rational surfaces in algebraic models of smooth manifolds

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Abstract.

Every compact smooth manifold M is diffeomorphic to a nonsingular real algebraic set, called an algebraic model of M. We study modulo 2 homology classes represented by rational algebraic surfaces in X, as X runs through the class of all algebraic models of M.

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  1. Department of Mathematics and Statistics, University of New Mexico, MSC03 2150, Albuquerque, New Mexico, 87131-0001, U.S.A.

    W. Kucharz

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  1. W. Kucharz
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Correspondence to W. Kucharz.

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Received: 16 June 2007

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Kucharz, W. Rational surfaces in algebraic models of smooth manifolds. Arch. Math. 90, 572–578 (2008). https://doi.org/10.1007/s00013-008-2495-1

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  • DOI: https://doi.org/10.1007/s00013-008-2495-1

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