Algebraic characteristic classes for idempotent matrices.

Título inglés Algebraic characteristic classes for idempotent matrices.
Título español Clases algebraicas características para matrices idempotentes.
Autor/es Gómez, Francisco
Organización Dep. Alg. Geom. Topol. Fac. Cien. Univ. Málaga, Málaga, España
Revista 0214-1493
Publicación 1992, 36 (2A): 601-608, 12 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés This paper contains the algebraic analog for idempotent matrices of the Chern-Weil theory of characteristic classes. This is used to show, algebraically, that the canonical line bundle on the complex projective space is not stably trivial. Also a theorem is proved saying that for any smooth manifold there is a canonical epimorphism from the even dimensional algebraic de Rham cohomology of its algebra of smooth functions onto the standard even dimensional de Rham cohomology of the manifold.
Código MathReviews MR1209826
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