Relative topology of real algebraic varieties in their complexifications

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چکیده

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Relative Topology of Real Algebraic Varieties in Their Complexifications

We investigate, for a given smooth closed manifold M , the existence of an algebraic model X for M (i.e., a nonsingular real algebraic variety diffeomorphic to M) such that some nonsingular projective complexification i : X → XC of X admits a retraction r : XC → X. If such an X exists, we show that M must be formal in the sense of Sullivan’s minimal models, and that all rational Massey products...

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ژورنال

عنوان ژورنال: Pacific Journal of Mathematics

سال: 2004

ISSN: 0030-8730

DOI: 10.2140/pjm.2004.217.291