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Cohomology and Crossed Module Extensions of Hom-Leibniz–Rinehart Algebras
In this paper, we introduce the concept of crossed module for Hom-Leibniz–Rinehart algebras. We then study the cohomology and extension theory of...
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Constant Angle Ruled Surfaces Associated with Slant Ruled Surfaces
In this study, we investigate constant angle ruled surfaces whose surface normals are parallel to the rulings, central normal vectors, central...
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Fixed Points of Involutions of G-Higgs Bundle Moduli Spaces over a Compact Riemann Surface with Classical Complex Structure Group
Let X be a compact and connected Riemann surface of genus g ≥ 2. In this paper, moduli spaces of Higgs bundles over X with structure group SL( n , ℂ),...
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Complex Symmetric Composition Operators on the Hardy Space of the Unit Ball
In this paper, we introduce a new conjugation induced by a sequence of symmetric unitary n × n matrices on ℂ n . And we completely characterize the...
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Some Abstract Critical Point Theorems and Applications in Wave Equations
With the index defined in [J. Differential Equations, 2016, 260(4): 3749–3784] and [Front. Math., 2023, 18(3): 731–742], we get some critical point...
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Global Well-posedness for the Fourth-order Defocusing Cubic Equation with Initial Data Lying in a Critical Sobolev Space
This paper is devoted to study the Cauchy problem of the fourth-order defocusing, cubic equation iu t + Δ 2 u = − ∣ u ∣ 2 u in critical Sobolev space. We...
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Large Deviations Principle for Stochastic Delay Differential Equations with Super-linearly Growing Coefficients
We utilize the weak convergence method to establish the Freidlin–Wentzell large deviations principle (LDP) for stochastic delay differential...
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Genome-wide analysis of the family 10 plant pathogenesis-related proteins in Pyrus bretschneideri and functional analysis of PbrMLP for Colletotrichum fructicola resistance
Pathogenesis-related (PR) genes are key regulators of plant adaptation responses to biotic and abiotic stresses. Family 10 PRs ( PR10 s, also known as...
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A Simons-type Integral Inequality for Minimal Surfaces with Constant Kähler Angle in Complex Projective Spaces
In this paper, we establish a Simons-type integral inequality for minimal surfaces with constant Kähler angle in complex projective spaces, and we...
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Sums of Higher Divisor Functions with Almost Equal Variables
Let k, ℓ ≥ 3 be integers, and let τ k ( n ) denote the k -th divisor function. In this paper, we apply the circle method to obtain an asymptotic formula...
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The Symmetric Rank of 2 × 2 × ⋯ × 2 Symmetric Tensors over an Arbitrary Field
The symmetric rank problem of 2 × 2 × ⋯ × 2 symmetric tensors are related to Waring’s problem of binary forms. In this paper, we characterize the...
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A Note on ξ-Bergman Kernels
In the present note, we introduce the ξ -complex singularity exponents, which come from the asymptotic property of ξ -Bergman kernels on sub-level sets...
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(2, q)-sine Ellipsoids and Related Volume Inequalities
Let K be a convex body that contains the origin in its interior and Q be a star body about the origin, respectively. In this paper, a new (2, q )-sine...
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Pulmonary metastatic gestational choriocarcinoma following an uncomplicated term pregnancy: a case report
BackgroundChoriocarcinoma is a highly malignant pregnancy-related trophoblastic neoplasm, characterized by early metastasis to the lungs. Therefore,...
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Right perirenal urinoma and urinothorax in an infant after neonatal ablation of posterior urethral valve: A rare complication diagnosed by pleural aspiration and treated with perinephric drainage: a case report
ObjectiveUrinothorax and urinoma are rare complications of obstructive uropathy. They might occur due to persistent high back pressure on the renal...
