Relative topology of real algebraic varieties in their complexifications

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2004-12-01
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-->X-C of X admits a retraction r:X-C-->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 on M are trivial.

Citation Formats
Y. Ozan, “Relative topology of real algebraic varieties in their complexifications,” PACIFIC JOURNAL OF MATHEMATICS, vol. 217, no. 2, pp. 291–302, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39863.