Results 61 to 70 of about 6,019,879 (179)
Nontrivial Massey products on compact Kähler manifolds
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract By a result of Deligne, Griffiths, Morgan, and Sullivan, compact Kähler manifolds are rationally formal. In contrast to this, we show that the pluripotential quasi‐isomorphism type of the bigraded, bidifferential algebra of forms on a compact Kähler manifold generally contains more information than the de Rham cohomology algebra with its real ...
Giovanni Placini +2 more
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Image of Lp(ℝn) under the Hermite Semigroup
International Journal of Mathematics and Mathematical Sciences, 2008 It is shown that the Hermite (polynomial) semigroup {e−tℍ:t>0} maps Lp(ℝn,ρ) into the space of holomorphic functions in Lr(ℂn,Vt,p/2(r+ϵ)/2) for each ϵ>0, where ρ is the Gaussian measure, Vt,p/2(r+ϵ)/2 is a scaled version of Gaussian measure with r=p if ...
R. Radha, D. Venku Naidu
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Hyperbolicity and fundamental groups of complex quasi‐projective varieties (III): Applications
Proceedings of the London Mathematical Society, Volume 133, Issue 5, November 2026.Abstract This paper is Part III of a series of three. We begin by introducing the notion of h$h$‐special varieties, which can be seen as varieties “chain‐connected by the Zariski closures of entire curves.” We prove that if X$X$ is either a special smooth complex quasi‐projective variety in the sense of Campana or an h$h$‐special variety, then for any ...
Benoît Cadorel +2 more
wiley +1 more source
Kahler manifolds and their relatives [PDF]
, 2010 Let M1 and M2 be two K¨ahler manifolds. We call M1 and M2 relatives if they share a non-trivial K¨ahler submanifold S, namely, if there exist two holomorphic and isometric immersions (K¨ahler immersions) h1 : S → M1 and h2 : S → M2. Moreover, two K¨ahler
Loi, A., Di Scala, Antonio Jose'
core
The Bergman kernel function and proper holomorphic mappings
, 1982 It is proved that a proper holomorphic mapping f f between bounded complete Reinhardt domains extends holomorphically past the boundary and that if, in addition, f −
Steven R. Bell
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ELEMENTARY SOLUTIONS OF A HOMOGENEOUS Q-SIDED CONVOLUTION EQUATION
Проблемы анализа, 2018 Spectral synthesis on the complex plane related to solutions of some homogeneous equations of convolution type. There is a method to obtain solutions: we describe the elementary solutions set of the equation (spectral analysis) and prove the ...
Tatarkin A . A . +1 more
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Good Real Perturbations of Simple Corank One Map Germs From R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$
Mathematische Nachrichten, Volume 299, Issue 10, Page 2805-2835, October 2026.ABSTRACT The existence of good real perturbations of map germs is one of the most interesting open questions in singularity theory. In this paper, we investigate this question for all simple corank one map germs from R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$, we give a complete description of those that admit a good real perturbation.
A. J. Miranda, M. J. Saia, T. O. Souza
wiley +1 more source
A holomorphic function having a discontinuous inverse
, 1972 An example is given of a function f f which is holomorphic in the open unit ball of l ∞ {l^\infty } and which extends in a natural way to the closed unit ball.
T. J. Suffridge
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Monogenic Functions in a Finite-Dimensional Semi-Simple Commutative Algebra
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 We obtain a constructive description of monogenic functions taking values in a finite-dimensional semi-simple commutative algebra by means of holomorphic functions of the complex variable.
Plaksa S. A., Pukhtaievych R. P.
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Hearing the Serre Invariant of a Compact p‐Adic Analytic Manifold
Mathematische Nachrichten, Volume 299, Issue 10, Page 3126-3138, October 2026.ABSTRACT Using a previous novel way of defining kernel functions for Laplacian integral operators on a compact p$p$‐adic analytic manifold X$X$, one such operator Δ0s$\Delta _0^s$ with s∈R$s\in \mathbb {R}$ is applied to hearing the Serre invariant i(X)$i(X)$ by showing that a wavelet eigenvalue (with the wavelet having small support) is always ...
Patrick Erik Bradley +1 more
wiley +1 more source