Relative topology of real algebraic varieties in their complexifications

Date

2004-12-01

Author

Ozan, Yıldıray

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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.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/39863

Collections

Department of Mathematics, Article