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$ℂ^{*}$ -actions on $ℂ^{3}$ are linearizable.

Kaliman, Shulim I., Koras, Mariusz, Makar-Limanov, Leonid, Russell, Peter (1997)

Electronic Research Announcements of the American Mathematical Society [electronic only]

$𝒞^{k}$ -regularity for the $\bar{\partial}$ -equation with a support condition

Shaban Khidr, Osama Abdelkader (2017)

Czechoslovak Mathematical Journal

Let $D$ be a $𝒞^{d}$ $q$ -convex intersection, $d \geq 2$ , $0 \leq q \leq n - 1$ , in a complex manifold $X$ of complex dimension $n$ , $n \geq 2$ , and let $E$ be a holomorphic vector bundle of rank $N$ over $X$ . In this paper, $𝒞^{k}$ -estimates, $k = 2, 3, \dots, \infty$ , for solutions to the $\bar{\partial}$ -equation with small loss of smoothness are obtained for $E$ -valued $(0, s)$ -forms on $D$ when $n - q \leq s \leq n$ . In addition, we solve the $\bar{\partial}$ -equation with a support condition in $𝒞^{k}$ -spaces. More...

$𝒟$ -modules arithmétiques. II: Descente par Frobenius

Pierre Berthelot (2000)

Mémoires de la Société Mathématique de France

$𝒟$ -modules et faisceaux pervers dont le support singulier est un croisement normal

André Galligo, Michel Granger, Philippe Maisonobe (1985)

Annales de l'institut Fourier

Dans cet article on étudie les $𝒟$ -modules dont le support singulier est un croisement normal dans $C^{n}$ , par l’intermédiaire de la catégorie équivalente de faisceaux pervers. On montre qu’ils sont caractérisés, à isomorphisme près, par la donnée suivante : un hypercube constitué par des espaces vectoriels de dimension finie $F_{I}$ indexés par les parties de ${1, ..., n}$ , et des applications linéaires $F_{I} ⇄ F_{I \cup {i}}$ soumises à certaines conditions de commutativité et d’inversibilité. Ce résultat est exprimé sous forme d’une équivalence...

$𝒟$ -modules micro-localement libres de rang 1 et connexions non-intégrables en dimension 2

Matthieu Carette (2002)

Annales de l’institut Fourier

Dans un article sur la transformation de Radon-Penrose, A. D’Agnolo et P. Schapira ont montré qu’au-dessus d’une variété complexe $X$ de dimension $\geq 3$ , tout $\hat{ℰ}$ - module localement libre de rang $1$ est de la forme $\hat{ℰ} \otimes_{π^{- 1} 𝒪} π^{- 1} ℒ$ pour un fibré inversible $ℒ$ sur $X$ . Ce résultat est faux en dimension $2$ , et le but de ce travail est de déterminer la structure des $𝒟$ - modules micro-localement libres de rang $1$ dans ce cas. Un des principaux résultat est la description des $𝒟$ -modules micro-localement libres de rang un en termes...

$\bar{\partial}$ -closed extension of CR-forms with singularities on a generic manifold.

Nikitina, T.N. (2005)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

2 Dimensional Counterexamples to Generalizations of the Levi Problem.

John Erik Fornaess (1977)

Mathematische Annalen

2-dimensionale Singularitäten und Differentialformen.

Friedrich W. Knöller (1973)

Mathematische Annalen

4-dimensional anti-Kähler manifolds and Weyl curvature

Jaeman Kim (2006)

Czechoslovak Mathematical Journal

On a 4-dimensional anti-Kähler manifold, its zero scalar curvature implies that its Weyl curvature vanishes and vice versa. In particular any 4-dimensional anti-Kähler manifold with zero scalar curvature is flat.

A balanced proper modification of P3.

L. Alessandrini, G. Bassanelli (1991)

Commentarii mathematici Helvetici

A Barth-Type Theorem for Branched Coverings of Projective Space.

Robert Lazarsfeld (1980)

Mathematische Annalen

A Berezin-type map and a class of weighted composition operators

Namita Das (2017)

Concrete Operators

In this paper we consider the map L defined on the Bergman space [...] of the right half plane [...] .

A Bertini type theorem in analytic geometry.

C.J. Jan (1973)

Journal für die reine und angewandte Mathematik

A better proof of the Goldman-Parker conjecture.

Schwartz, Richard Evan (2005)

Geometry & Topology

A Bochner-Martinelli formula for vector fields which satisfy the generalized Cauchy-Riemann equations

R. G. M. Brummelhuis (1988)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

A Borel-Weil theorem for holomorphic forms

Laurent Manivel, Dennis M. Snow (1996)

Compositio Mathematica

A boundary cross theorem for separately holomorphic functions

Peter Pflug, Viêt-Anh Nguyên (2004)

Annales Polonici Mathematici

Let D ⊂ ℂⁿ and $G \subset ℂ^{m}$ be pseudoconvex domains, let A (resp. B) be an open subset of the boundary ∂D (resp. ∂G) and let X be the 2-fold cross ((D∪A)×B)∪(A×(B∪G)). Suppose in addition that the domain D (resp. G) is locally ² smooth on A (resp. B). We shall determine the “envelope of holomorphy” X̂ of X in the sense that any function continuous on X and separately holomorphic on (A×G)∪(D×B) extends to a function continuous on X̂ and holomorphic on the interior of X̂. A generalization of this result to N-fold...

Currently displaying 1 – 20 of 5580

Page 1 Next

Displaying 1 – 20 of 5580

$ℂ^{*}$ -actions on $ℂ^{3}$ are linearizable.

$𝒞^{k}$ -regularity for the $\bar{\partial}$ -equation with a support condition

$𝒟$ -modules arithmétiques. II: Descente par Frobenius

$𝒟$ -modules et faisceaux pervers dont le support singulier est un croisement normal

$𝒟$ -modules micro-localement libres de rang 1 et connexions non-intégrables en dimension 2

$\bar{\partial}$ -closed extension of CR-forms with singularities on a generic manifold.

2 Dimensional Counterexamples to Generalizations of the Levi Problem.

2-dimensionale Singularitäten und Differentialformen.

4-dimensional anti-Kähler manifolds and Weyl curvature

A balanced proper modification of P3.

A Barth-Type Theorem for Branched Coverings of Projective Space.

A Berezin-type map and a class of weighted composition operators

A Bertini type theorem in analytic geometry.

A better proof of the Goldman-Parker conjecture.

A Bochner-Martinelli formula for vector fields which satisfy the generalized Cauchy-Riemann equations

A Borel-Weil theorem for holomorphic forms

A boundary cross theorem for separately holomorphic functions

A boundary rigidity problem for holomorphic mappings.

A $C^{\infty}$ logarithmic Dolbeault complex

A C2-estimate for solutions of complex Monge-Ampère equations.

Currently displaying 1 – 20 of 5580