Results 31 to 40 of about 202,771,687 (141)

A Landau's theorem in several complex variables

, 2017
In one complex variable, it is well known that if we consider the family of all holomorphic functions on the unit disc that fix the origin and with first derivative equal to 1 at the origin, then there exists a constant ρ, independent of the functions ...
BISI, Cinzia
core   +1 more source

The Legendrian Hopf link has exactly two Lagrangian fillings

Journal of Topology, Volume 19, Issue 4, December 2026.
Abstract We prove that there are precisely two embedded exact Lagrangian fillings of the standard Legendrian Hopf link, up to compactly supported Hamiltonian isotopy. It was known that the standard Legendrian Hopf link admitted at least two such Lagrangian fillings: we show these are all.
Bryce Thomson
wiley   +1 more source

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, Jonas Stelzig, Leopold Zoller   +2 more
wiley   +1 more source

Vector-valued holomorphic functions in several variables

, 2020
In the present paper we give some explicit proofs for folklore theorems on holomorphic functions in several variables with values in a locally complete locally convex Hausdorff space E over C. Most of the literature on vector-valued holomorphic functions
Kruse, Karsten
core   +1 more source

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, Ya Deng, Katsutoshi Yamanoi   +2 more
wiley   +1 more source

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, Ángel Morán Ledezma   +1 more
wiley   +1 more source

Some criteria of boundedness of the L-index in direction for slice holomorphic functions of several complex variables [PDF]

, 2019
We investigate the slice holomorphic functions of several complex variables that have a bounded L-index in some direction and are entire on every slice {z⁰ + tb : t ∈ C} for every z⁰ ∈ Cⁿ and for a given direction b ∈ Cⁿ \ {0}.
Bandura, A., Skaskiv, O.
core   +2 more sources

Canonical metrics on holomorphic fibre bundles

Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.
Abstract In this article, we completely describe the existence of canonical metrics, known as optimal symplectic connections, on isotrivial Kähler fibrations. In this setting an optimal symplectic connection is induced from a Hermite–Einstein connection on the holomorphic principal bundle of relative automorphisms, and the Hitchin–Kobayashi ...
John Benjamin McCarthy
wiley   +1 more source

bk$b^k$‐Algebroids and the variety of foliation jets

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract We introduce and classify singular foliations of bk+1$b^{k+1}$‐type, which formalize the properties of vector fields that are tangent to a submanifold W⊂M$W \subset M$ to order k$k$. When W$W$ is a hypersurface, these structures are Lie algebroids generalizing the bk+1$b^{k+1}$‐tangent bundles introduced by Scott.
Francis Bischoff, Álvaro del Pino, Aldo Witte   +2 more
wiley   +1 more source

Optimal bounds for the Kobayashi distance near C2$\mathcal {C}^2$‐smooth boundary points

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract It is shown that the optimal upper and lower bounds for the Kobayashi distance near C2,α$\mathcal {C}^{2,\alpha }$‐smooth strongly pseudoconvex boundary points obtained in Kosiński, Nikolov, and Ökten [Adv. Math. 478 (2025), 110388] remain true in the general C2$\mathcal {C}^2$‐smooth strongly pseudoconvex setting.
Nikolai Nikolov, Pascal J. Thomas
wiley   +1 more source