Complexification of algebraic models of smooth manifolds | Zendy

Kucharz Wojciech | Zendy; Kurdyka Krzysztof | Zendy

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Complexification of algebraic models of smooth manifolds

Author(s) -

Kucharz Wojciech,

Kurdyka Krzysztof

Publication year - 2011

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/jlms/jdr005

Subject(s) - invertible matrix , mathematics , diffeomorphism , pure mathematics , cohomology , complexification , algebraic number , class (philosophy) , manifold (fluid mechanics) , algebraic cycle , algebra over a field , algebraic topology , set (abstract data type) , dimension of an algebraic variety , mathematical analysis , computer science , homotopy , mechanical engineering , artificial intelligence , engineering , programming language

Each compact smooth manifold M is diffeomorphic to a nonsingular real algebraic set, called an algebraic model of M . As X runs through the class of all algebraic models of M , we study relationships between the cohomology of X and the cohomology of nonsingular projective complexifications of X .

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