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COMPLEX CYCLES AS OBSTRUCTIONS ON REAL ALGEBRAIC VARIETIES
Published online by Cambridge University Press: 19 December 2014
Abstract
Let Y be a compact nonsingular real algebraic variety of positive dimension. Then one can find a compact connected nonsingular real algebraic variety X, which admits a continuous map into Y that is not homotopic to any regular map. It is hard to determine the minimum dimension of such a variety X. In this paper, new upper bounds for dim X are obtained. The main role in the constructions is played by complex algebraic cycles on Y.
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- Copyright © Glasgow Mathematical Journal Trust 2014
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