Displaying similar documents to “The cohomology groups H 1 3 - 1 , 𝒪 ( m )

Obstructions to generic embeddings

Judith Brinkschulte, C. Denson Hill, Mauro Nacinovich (2002)

Annales de l’institut Fourier

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Let F be a relatively closed subset of a Stein manifold. We prove that the ¯ -cohomology groups of Whitney forms on F and of currents supported on F are either zero or infinite dimensional. This yields obstructions of the existence of a generic C R embedding of a CR manifold M into any open subset of any Stein manifold, namely by the nonvanishing but finite dimensionality of some intermediate ¯ M -cohomology groups.

Motivic cohomology and unramified cohomology of quadrics

Bruno Kahn, R. Sujatha (2000)

Journal of the European Mathematical Society

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This is the last of a series of three papers where we compute the unramified cohomology of quadrics in degree up to 4. Complete results were obtained in the two previous papers for quadrics of dimension 4 and 11 . Here we deal with the remaining dimensions between 5 and 10. We also prove that the unramified cohomology of Pfister quadrics with divisible coefficients always comes from the ground field, and that the same holds for their unramified Witt rings. We apply these results to real...

Cohomology rings of spaces of generic bipolynomials and extended affine Weyl groups of serie A

Fabien Napolitano (2003)

Annales de l’institut Fourier

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A bipolynomial is a holomorphic mapping of a sphere onto a sphere such that some point on the target sphere has exactly two preimages. The topological invariants of spaces of bipolynomials without multiple roots are connected with characteristic classes of rational functions with two poles and generalized braid groups associated to extended affine Weyl groups of the serie A . We prove that the cohomology rings of the spaces of bipolynomials of bidegree ( k , l ) stabilize as k tends to infinity...

Algebras of the cohomology operations in some cohomology theories

A. Jankowski

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Contents0. Introduction............................................................................................................................................. 51. Preliminaries.......................................................................................................................................... 62. Generalized cohomology theories with a coefficient group Z p .............................................. 83. Cohomology theory BP* ( , Z p )........................................................................................................