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Displaying 221 – 240 of 5581

A priori estimates for weak solutions of complex Monge-Ampère equations

Slimane Benelkourchi, Vincent Guedj, Ahmed Zeriahi (2008)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Let $X$ be a compact Kähler manifold and $ω$ be a smooth closed form of bidegree $(1, 1)$ which is nonnegative and big. We study the classes $ℰ_{χ} (X, ω)$ of $ω$ -plurisubharmonic functions of finite weighted Monge-Ampère energy. When the weight $χ$ has fast growth at infinity, the corresponding functions are close to be bounded. We show that if a positive Radon measure is suitably dominated by the Monge-Ampère capacity, then it belongs to the range of the Monge-Ampère operator on some class $ℰ_{χ} (X, ω)$ . This is done by establishing...

A product formula for period integrals.

Tomohide Terasoma (1994)

Mathematische Annalen

A proof of the birationality of certain BHK-mirrors

Patrick Clarke (2014)

Complex Manifolds

We generalize and give an elementary proof of Kelly’s refinement [9] of Shoemaker’s result [11] on the birationality of certain BHK-mirrors. Our approach uses a construction that is equivalent to the Krawitz generalization [10] of the duality in Berglund-Hübsch [2].

A proof of the stratified Morse inequalities for singular complex algebraic curves using the Witten deformation

Ursula Ludwig (2011)

Annales de l’institut Fourier

The Witten deformation is an analytic method proposed by Witten which, given a Morse function $f : M \to R$ on a smooth compact manifold $M$ , allows to prove the Morse inequalities. The aim of this article is to generalise the Witten deformation to stratified Morse functions (in the sense of stratified Morse theory as developed by Goresky and MacPherson) on a singular complex algebraic curve. In a previous article the author developed the Witten deformation for the model of an algebraic curve with cone-like singularities...

A proof of the valuation property and preparation theorem

Krzysztof Jan Nowak (2007)

Annales Polonici Mathematici

The purpose of this article is to present a short model-theoretic proof of the valuation property for a polynomially bounded o-minimal theory T. The valuation property was conjectured by van den Dries, and proved for the polynomially bounded case by van den Dries-Speissegger and for the power bounded case by Tyne. Our proof uses the transfer principle for the theory $T_{c o n v}$ (i.e. T with an extra unary symbol denoting a proper convex subring), which-together with quantifier elimination-is due to van den...

A property of determining sets for analytic functions

Jan Chmielowski, Grzegorz Łubczonok (1977)

Studia Mathematica

À propos de G. A. G. R.

Pierre Jarraud (1983/1984)

Groupe de travail d'analyse ultramétrique

À propos de la forme hermitienne canonique d'une singularité isolée d'hypersurface

François Loeser (1986)

Bulletin de la Société Mathématique de France

A propos de revêtements ramifiés d'espaces de Stein.

P. Le Barz (1976)

Mathematische Annalen

A propos du problème des arcs de Nash

Camille Plénat (2005)

Annales de l’institut Fourier

Soit $ℋ = ⋃ N_{i}$ la décomposition canonique de l’espace des arcs $ℋ$ passant par une singularité normale de surface. Dans cet article, on propose deux nouvelles conditions qui si elles sont vérifiées permettent de montrer que $N_{i}$ n’est pas inclus dans $N_{j}$ . On applique ces conditions pour donner deux nouvelles preuves du problème de Nash pour les singularités sandwich minimales.

A propos d'une conjecture de R. Hartshorne.

D. Barlet (1987)

Journal für die reine und angewandte Mathematik

A pseudoconcave generalization of Grauert's direct image theorem : I

Yum-Tong Siu (1970)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

A pseudoconcave generalization of Grauert's direct image theorem : II

Yum-Tong Siu (1970)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

A Pseudo-convex Domain not Admitting a Holomorphic Support Function.

J.J. Kohn, L. Nirenberg (1973)

Mathematische Annalen

A pseudoconvex domain with bounded solutions for ..., but not admitting ...-estimates.

Joachim Michel (1993)

Mathematische Zeitschrift

A pseudoconvex-pseudoconcave generalization of Grauert's direct image theorem

Yum-Tong Siu (1972)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

A pseudo-trigonometry related to Ptolemy's theorem and the hyperbolic geometry of punctured spheres

Joachim A. Hempel (2004)

Annales Polonici Mathematici

A hyperbolic geodesic joining two punctures on a Riemann surface has infinite length. To obtain a useful distance-like quantity we define a finite pseudo-length of such a geodesic in terms of the hyperbolic length of its surrounding geodesic loop. There is a well defined angle between two geodesics meeting at a puncture, and our pseudo-trigonometry connects these angles with pseudo-lengths. We state and prove a theorem resembling Ptolemy's classical theorem on cyclic quadrilaterals and three general...

A pure smoothness condition for Radó’s theorem for $α$ -analytic functions

Abtin Daghighi, Frank Wikström (2016)

Czechoslovak Mathematical Journal

Let $Ω \subset ℂ^{n}$ be a bounded, simply connected $ℂ$ -convex domain. Let $α \in ℤ_{+}^{n}$ and let $f$ be a function on $Ω$ which is separately $C^{2 α_{j} - 1}$ -smooth with respect to $z_{j}$ (by which we mean jointly $C^{2 α_{j} - 1}$ -smooth with respect to $Re z_{j}$ , $Im z_{j}$ ). If $f$ is $α$ -analytic on $Ω ∖ f^{- 1} (0)$ , then $f$ is $α$ -analytic on $Ω$ . The result is well-known for the case $α_{i} = 1$ , $1 \leq i \leq n$ , even when $f$ a priori is only known to be continuous.

A radial Phragmén-Lindelöf estimate for plurisubharmonic functions on algebraic varieties

Rüdiger Braun, Reinhold Meise, B. Taylor (1999)

Annales Polonici Mathematici

For complex algebraic varieties V, the strong radial Phragmén-Lindelöf condition (SRPL) is defined. It means that a radial analogue of the classical Phragmén-Lindelöf Theorem holds on V. Here we derive a sufficient condition for V to satisfy (SRPL), which is formulated in terms of local hyperbolicity at infinite points of V. The latter condition as well as the extension of local hyperbolicity to varieties of arbitrary codimension are introduced here for the first time. The proof of the main result...

A Realization Problem in the Theory of Analytic curves

Maurice Heins (1977)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

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