Results 91 to 100 of about 10,326,050 (296)
Kaehler Manifolds of Quasi-Constant Holomorphic Sectional Curvatures
, 2005 The Kaehler manifolds of quasi-constant holomorphic sectional curvatures are introduced as Kaehler manifolds with complex distribution of codimension two, whose holomorphic sectional curvature only depends on the corresponding point and the geometric ...
A. Gray +13 more
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Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds
Bulletin of the London Mathematical Society, EarlyView.Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
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Analytic cliffordian functions [PDF]
, 2004 In classical function theory, a function is holomorphic if and only if it is complex analytic. For higher dimensional spaces it is natural to work in the context of Clifford algebras. The structures of these algebras depend on the parity of the dimension
Annales Academi +3 more
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Mathematics, 2022 In the present paper, making use of Gegenbauer polynomials, we initiate and explore a new family JΣ(λ,γ,s,t,q;h) of holomorphic and bi-univalent functions which were defined in the unit disk D associated with the q-Srivastava–Attiya operator.
Abbas Kareem Wanas +1 more
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Optimal Zero‐Free Regions for the Independence Polynomial of Bounded Degree Hypergraphs
Random Structures &Algorithms, Volume 66, Issue 4, July 2025.ABSTRACT In this paper, we investigate the distribution of zeros of the independence polynomial of hypergraphs of maximum degree Δ$$ \Delta $$. For graphs, the largest zero‐free disk around zero was described by Shearer as having radius λs(Δ)=(Δ−1)Δ−1/ΔΔ$$ {\lambda}_s\left(\Delta \right)={\left(\Delta -1\right)}^{\Delta -1}/{\Delta}^{\Delta ...
Ferenc Bencs, Pjotr Buys
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Growth Estimates for the Numerical Range of Holomorphic Mappings and Applications
, 2015 The numerical range of holomorphic mappings arises in many aspects of nonlinear analysis, finite and infinite dimensional holomorphy, and complex dynamical systems.
Bracci, Filippo +3 more
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The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices
Transactions of the American Mathematical Society, 2017 Starting with a discrete 3 × 3 3\times 3 matrix spectral problem, the hierarchy of Bogoyavlensky lattices which are pure differential-difference equations are derived with the aid of the Lenard recursion equations and the stationary ...
Jiao Wei, X. Geng, Xin Zeng
semanticscholar +1 more source
Continuity of HYM connections with respect to metric variations
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We investigate the set of (real Dolbeault classes of) balanced metrics Θ$\Theta$ on a balanced manifold X$X$ with respect to which a torsion‐free coherent sheaf E$\mathcal {E}$ on X$X$ is slope stable. We prove that the set of all such [Θ]∈Hn−1,n−1(X,R)$[\Theta] \in H^{n - 1,n - 1}(X,\mathbb {R})$ is an open convex cone locally defined by a ...
Rémi Delloque
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Arithmetic constants for symplectic variances of the divisor function
Mathematika, Volume 71, Issue 3, July 2025.Abstract Kuperberg and Lalín stated some conjectures on the variance of certain sums of the divisor function dk(n)$d_k(n)$ over number fields, which were inspired by analogous results over function fields proven by the authors. These problems are related to certain symplectic matrix integrals. While the function field results can be directly related to
Vivian Kuperberg, Matilde Lalín
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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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