Abstract
Any morphism of nonsingular complete real algebraic varieties F: Y → X determines a holomorphic mapping of the sets of complex points F ‒: Y (‒) → X(‒) as well as a differentiable mapping of the sets of real points F ℝ: Y(ℝ) → X(ℝ). These two mappings determine classes of nonoriented bordisms [F ‒] ∈ MO2m (X((‒)), [F ℝ] ∈ M Om (X(ℝ)), where m = dim Y. The paper describes relationship between these two classes of bordisms.
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Original Russian Text © V. A. Krasnov, 2007, published in Matematicheskie Zametki, 2007, Vol. 81, No. 5, pp. 724–732.
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Krasnov, V.A. On bordisms of real algebraic M-varieties. Math Notes 81, 649–655 (2007). https://doi.org/10.1134/S0001434607050100
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DOI: https://doi.org/10.1134/S0001434607050100