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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 .