Obstructions to generic embeddings

Judith Brinkschulte; C. Denson Hill; Mauro Nacinovich

Displaying similar documents to “Obstructions to generic embeddings”

$Z_{p}$ -cohomology manifold with no $Z_{p}$ -resolution

W. Jakobsche (1991)

Fundamenta Mathematicae

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Duality and distribution cohomology of $C R$ manifolds

C. Denson Hill, M. Nacinovich (1995)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Analytic cohomology of complete intersections in a Banach space

Imre Patyi (2004)

Annales de l’institut Fourier

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Let $X$ be a Banach space with a countable unconditional basis (e.g., $X = ℓ_{2}$ ), $Ω \subset X$ an open set and $f_{1}, ..., f_{k}$ complex-valued holomorphic functions on $Ω$ , such that the Fréchet differentials $d f_{1} (x), ..., d f_{k} (x)$ are linearly independant over $ℂ$ at each $x \in Ω$ . We suppose that $M = {x \in Ω : f_{1} (x) = ... = f_{k} (x) = 0}$ is a complete intersection and we consider a holomorphic Banach vector bundle $E \to M$ . If $I$ (resp. $𝒪^{E}$ ) denote the ideal of germs of holomorphic functions on $Ω$ that vanish on $M$ (resp. the sheaf of germs of holomorphic sections of $E$ ), then the sheaf cohomology groups...

BGG resolutions via configuration spaces

Michael Falk, Vadim Schechtman, Alexander Varchenko (2014)

Journal de l’École polytechnique — Mathématiques

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We study the blow-ups of configuration spaces. These spaces have a structure of what we call an Orlik–Solomon manifold; it allows us to compute the intersection cohomology of certain flat connections with logarithmic singularities using some Aomoto type complexes of logarithmic forms. Using this construction we realize geometrically the ${𝔰𝔩}_{2}$ Bernstein–Gelfand–Gelfand resolution as an Aomoto complex.

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* ( , $Z_{p}$ )........................................................................................................

The ℤ₂-cohomology cup-length of real flag manifolds

Július Korbaš, Juraj Lörinc (2003)

Fundamenta Mathematicae

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Using fiberings, we determine the cup-length and the Lyusternik-Shnirel’man category for some infinite families of real flag manifolds $O (n ₁ + . . . + n_{q}) / O (n ₁) \times . . . \times O (n_{q})$ , q ≥ 3. We also give, or describe ways to obtain, interesting estimates for the cup-length of any $O (n ₁ + . . . + n_{q}) / O (n ₁) \times . . . \times O (n_{q})$ , q ≥ 3. To present another approach (combining well with the “method of fiberings”), we generalize to the real flag manifolds Stong’s approach used for calculations in the ℤ₂-cohomology algebra of the Grassmann manifolds.

The cohomology groups $H^{1} (ℙ^{3} - ℙ^{1}, 𝒪 (m))$

Antonio Cassa (1990)

Rendiconti del Seminario Matematico della Università di Padova

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On the spectral sequence fo r the $\bar{\partial}$ -cohomology of a holomorpkic bundle with Stein fibres

Guido Lupacciolu (1982)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Si esamina la successione spettrale per la $\bar{\partial}$ -coomologia dello spazio totale di un fibrato olomorfo nel caso in cui le fibre siano varietà di Stein.