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Relative topology of real algebraic varieties in their complexifications
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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
Journal
PACIFIC JOURNAL OF MATHEMATICS
DOI
https://doi.org/10.2140/pjm.2004.217.291
Collections
Department of Mathematics, Article
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Y. Ozan, “Relative topology of real algebraic varieties in their complexifications,”
PACIFIC JOURNAL OF MATHEMATICS
, pp. 291–302, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39863.