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Displaying 261 – 280 of 607

A Riemann-Roch-Hirzebruch formula for traces of differential operators

Markus Engeli, Giovanni Felder (2008)

Annales scientifiques de l'École Normale Supérieure

Let $D$ be a holomorphic differential operator acting on sections of a holomorphic vector bundle on an $n$ -dimensional compact complex manifold. We prove a formula, conjectured by Feigin and Shoikhet, giving the Lefschetz number of $D$ as the integral over the manifold of a differential form. The class of this differential form is obtained via formal differential geometry from the canonical generator of the Hochschild cohomology $H H^{2 n} (𝒟_{n}, 𝒟_{n}^{*})$ of the algebra of differential operators on a formal neighbourhood of a...

A rigidity theorem for Möbius groups.

P. Tukia (1989)

Inventiones mathematicae

A Rigidity Theorem for P3 ( C ).

Thomas Peternell (1985)

Manuscripta mathematica

A ring of analytic functions, II

R. Brooks (1971)

Studia Mathematica

A Schwarz lemma for correspondences and applications.

Kaushal Verma (2003)

Publicacions Matemàtiques

A version of the Schwarz lemma for correspondences is studied. Two applications are obtained namely, the 'non-increasing' property of the Kobayashi metric under correspondences and a weak version of the Wong-Rosay theorem for convex, finite type domains admitting a 'non-compact' family of proper correspondences.

A Schwarz lemma on complex ellipsoids

Hidetaka Hamada (1997)

Annales Polonici Mathematici

We give a Schwarz lemma on complex ellipsoids.

A set on which the local Łojasiewicz exponent is attained

Jacek Chądzyński, Tadeusz Krasiński (1997)

Annales Polonici Mathematici

Let U be a neighbourhood of 0 ∈ ℂⁿ. We show that for a holomorphic mapping $F = (f ₁, . . ., f ₘ) : U \to ℂ^{m}$ , F(0) = 0, the Łojasiewicz exponent ₀(F) is attained on the set z ∈ U: f₁(z)·...·fₘ(z) = 0.

A set on which the Łojasiewicz exponent at infinity is attained

Jacek Chądzyński, Tadeusz Krasiński (1997)

Annales Polonici Mathematici

We show that for a polynomial mapping $F = (f ₁, . . ., f ₘ) : ℂ^{n} \to ℂ^{m}$ the Łojasiewicz exponent $_{\infty} (F)$ of F is attained on the set $z \in ℂ^{n} : f ₁ (z) \cdot . . . \cdot f ₘ (z) = 0$ .

A sharp form of Nevanlinna's second main theorem of several complex variables.

Zhuan Ye (1996)

Mathematische Zeitschrift

A sharp norm estimate for weighted Bergman projections on the minimal ball.

Gonessa, Jocelyn, Zhu, Kehe (2011)

The New York Journal of Mathematics [electronic only]

A Simple Proof of the Subjectivity of the Period Map of K3 Surfaces.

Yum-Tong Siu (1981)

Manuscripta mathematica

A Simplification and Extension of Fefferman's Theorem on Biholomorphic Mappings.

Steve Bell, Ewa Ligocka (1980)

Inventiones mathematicae

A smooth Pseudoconvex domain without pseudoconvex exhaustion.

Klas Diederich, John Erik Fornaess (1982)

Manuscripta mathematica

A solution to the delta operator-problem for holomorphic (0,q)-forms, q ≥ 1, on a complex normed space.

Roberto Luiz Soraggi (1994)

Extracta Mathematicae

A spanning set for the space of super cusp forms.

Knevel, Roland (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

A special integral representation for a local residue.

Shaimkulov, B.A. (2002)

Sibirskij Matematicheskij Zhurnal

A special version of the Schwarz lemma on an infinite dimensional domain

Tatsuhiro Honda (1997)

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

Let $B$ be the open unit ball of a Banach space $E$ , and let $f : B \to B$ be a holomorphic map with $f (0) = 0$ . In this paper, we discuss a condition whereby $f$ is a linear isometry on $E$ .

A splitting criterion for two-dimensional semi-tori.

Winkelmann, Jörg (2004)

Journal of Lie Theory

A Splitting Theorem for Maps Into IR2 .

C.T.C. Wall (1982)

Mathematische Annalen

A splitting theorem for the Kupka component of a foliation of $𝐂 𝐏^{n}, n \geq 6$ . Addendum to a paper by O. Calvo-Andrade and N. Soares

Edoardo Ballico (1995)

Annales de l'institut Fourier

Here we show that a Kupka component $K$ of a codimension 1 singular foliation $F$ of $C P^{n}, n \geq 6$ with $\deg (K)$ not a square is a complete intersection. The result implies the existence of a meromorphic first integral of $F$ .

Currently displaying 261 – 280 of 607

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