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Are West African Heat‐Lows Analogous to Dry Tropical Cyclones?

International Journal of Climatology, EarlyView.
Heat‐lows qualitatively resemble dry tropical cyclones (TCs), though their underlying physics has yet to be compared. In this study, we show that West African transient heat‐low climatology correlates well with TC potential intensity generalised over land.
Aaron Kruskie, Daniel Chavas, Matthew Huber +2 more
wiley +1 more source

Proof of the Hodge Conjecture

In this paper we prove the Rational Hodge Conjecture, namely that for every smooth complex projective variety X/C and every integer 0 ≤ p ≤ dimC X Hp,p(X) ∩ H2p(X, Q) = Im(cl : CHp(X)Q −→ H2p(X, Q)). Our principal new contributions are the following four results: 1.
+4 more sources

Genome‐Wide Assessment Reveals Ancestral Differences in Homozygosity Patterns Potentially Linked to Parkinson's Disease Etiology

Movement Disorders, EarlyView.
Abstract Background Recessive genetic variation and extended runs of homozygosity (ROHs) may contribute to the unexplained heritability of Parkinson's disease (PD), particularly in diverse and understudied populations. Objective We conducted the first large‐scale, multi‐ancestral investigation of PD to examine the impact of genome‐wide homozygosity on ...
Kathryn Step +680 more
wiley +1 more source

Urologic Bacteriome: The Hero or the Villain in Prostate Cancer Onset, Progression, and Treatment?

Medicinal Research Reviews, EarlyView.
ABSTRACT Prostate cancer (PCa) is the second most frequently diagnosed cancer in men worldwide and the fifth leading cause of cancer‐related mortality, presenting urgent unmet clinical needs in diagnosis and treatment. The recognition of the microbiome as a key factor in human health has prompted numerous studies, revealing an exciting new approach to ...
Lara R. S. Fonseca +6 more
wiley +1 more source

Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron +2 more
wiley +1 more source

Lagrangian Fibrations. [PDF]

Milan J Math, 2022
Huybrechts D, Mauri M.
europepmc +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source

Curvature–Cohomology Criterion for Projectivity: A Synthesis of Classical Results in Hodge Theory

Axioms
This paper synthesizes classical results in Hodge theory, curvature positivity, and vanishing theorems to give a concise curvature–cohomology criterion for the projectivity of compact Kähler manifolds.
Ghaliah Alhamzi +5 more
doaj +1 more source

Characterizing the Diffusion Properties of Prostate Tissue Using Paired MR Microscopy and Multidimensional Diffusion MRI

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To characterize the diffusion properties of prostate epithelium and stroma in benign tissue and cancer. Methods Paired MR microscopy (20 μm) and multidimensional diffusion MRI (dMRI) (160 μm, b = 1000–2000 s/mm2, ∆ = 15–120 ms) were performed at 16.4 T on 17 fixed prostate tissue samples (14× benign, 2× Gleason 3 + 3, 1× Gleason 4 + 4).
Adam Phipps +7 more
wiley +1 more source

Categorical Torelli theorems: results and open problems. [PDF]

Rend Circ Mat Palermo, 2023
Pertusi L, Stellari P.
europepmc +1 more source

fos: mathematics
algebraic geometry math.ag
mathematics - algebraic geometry

superstring vacua
flux compactifications
differential and algebraic geometry

algebraic cycles
algebraic geometry
d-branes