Results 91 to 100 of about 43,755 (258)
Computing endomorphism rings of abelian varieties of dimension two [PDF]
Generalizing a method of Sutherland and the author for elliptic curves, we design a subexponential algorithm for computing the endomorphism rings of ordinary abelian varieties of dimension two over finite fields.
Bisson, Gaetan
core +5 more sources
On Extremal Properties for the Polar Derivative of Polynomials
Summary: If \(p(z)\) is a polynomial of degree \(n\) having all its zeros on \(|z|=k\), \(k\leq 1\), then it is known that \[ \max\limits_{|z|=1}|p'(z)|\leq \frac n {k^{n-1}+k^n}\max\limits_{|z|=1}|p(z)|. \] In this paper, we generalize the above inequality by extending it to the polar derivative of a polynomial of the type \(p(z)=c_nz^n +\sum\limits ...
Dewan, K. K., Ahuja, Arty
openaire +2 more sources
Composition‐Aware Cross‐Sectional Integration for Spatial Transcriptomics
Multi‐section spatial transcriptomics demands coherent cell‐type deconvolution, domain detection, and batch correction, yet existing pipelines treat these tasks separately. FUSION unifies them within a composition‐aware latent framework, modeling reads as cell‐type–specific topics and clustering in embedding space.
Qishi Dong +5 more
wiley +1 more source
This review explores the transformative impact of artificial intelligence on multiscale modeling in materials research. It highlights advancements such as machine learning force fields and graph neural networks, which enhance predictive capabilities while reducing computational costs in various applications.
Artem Maevskiy +2 more
wiley +1 more source
On the Geometry of Moduli Space of Polarized Calabi-Yau manifolds [PDF]
In this paper, we study the Chern classes on the moduli space of polarized Calabi-Yau manifolds. We prove that the integrations of the invariants of the curvature of the Weil-Petersson metric are finite.
Douglas, Michael, Lu, Zhiqin
core +2 more sources
Some Inequalities for the Polar Derivative of a Polynomial
Summary: Let \(P(z)\) be a polynomial of degree \(n\) which has no zeros in \(|z|
Gulzar, M. H. +2 more
openaire +2 more sources
Metasurfaces and Metadevices for Topological Electromagnetic Waves
Optical topologies refer to diverse topological localized structures made by diverse parameters of light fields, such as vortices, skyrmions, and hopfions. This article navigates a direction of metasurface‐based integrated devices for generation, manipulation and detection of novel topologies of light, which would be a rapidly growing interdisciplinary
Rensheng Xie +3 more
wiley +1 more source
Emergent Spin Hall Quantization and High‐Order van Hove singularities in Square‐Octagonal MA2Z4
Square‐octagonal MA2Z4 (M = Mo/W, A = Si/Ge, Z = pnictogen) monolayers are predicted to realize quantum spin Hall insulators with nearly quantized spin Hall conductivity enabled by an emergent spin U(1) quasi‐symmetry. Materials with Z = As and Sb host quasi‐flat bands with high‐order van Hove singularities near the Fermi level, making them promising ...
Rahul Verma +3 more
wiley +1 more source
The inverted F‐type ZnWO4/In2S3 heterojunction enables efficient charge separation and retention of strong oxidative capability through interfacial electric field regulation, leading to non‐toxic degradation of contaminants for sustainable water treatment.
Yanxian Jin +9 more
wiley +1 more source

