Results 21 to 30 of about 1,269 (172)

FANO HYPERSURFACES WITH ARBITRARILY LARGE DEGREES OF IRRATIONALITY

Forum of Mathematics, Sigma, 2020
We show that complex Fano hypersurfaces can have arbitrarily large degrees of irrationality. More precisely, if we fix a Fano index $e$, then the degree of irrationality of a very general complex Fano hypersurface of index $e$ and dimension n is bounded ...
NATHAN CHEN, DAVID STAPLETON
doaj   +1 more source

Minimal surfaces and weak gravity

Journal of High Energy Physics, 2020
We show that the Weak Gravity Conjecture (WGC) implies a nontrivial upper bound on the volumes of the minimal-volume cycles in certain homology classes that admit no calibrated representatives.
Mehmet Demirtas, Cody Long, Liam McAllister, Mike Stillman   +3 more
doaj   +1 more source

Non-BPS black branes in M-theory over Calabi-Yau threefolds. (Non-)uniqueness and recombination of non-BPS black strings in single modulus CICY and THCY models

Journal of High Energy Physics, 2022
We study extremal solutions arising in M-theory compactifications on Calabi-Yau threefolds, focussing on non-BPS attractors for their importance in relation to the Weak Gravity Conjecture (WGC); M2 branes wrapped on two-cycles give rise to black holes ...
Alessio Marrani, Anshul Mishra, Prasanta K. Tripathy   +2 more
doaj   +1 more source

Dynamically Tunable Coherent Perfect Absorption Based on Bound States in the Continuum in Borophene Metamaterials

Advanced Photonics Research, EarlyView.
This article proposes a symmetry‐protected bound states in the continuum mechanism based on borophene metamaterials, achieving dual‐band broadband coherent perfect absorption (CPA) in the near‐infrared spectrum. By dynamically modulating carrier concentration, the operational bandwidth of CPA can be significantly expanded, effectively overcoming the ...
Xue‐Yan Wu, Yan‐Xi Zhang, Qi Lin, Xiang Zhai, Ling‐Ling Wang, Gui‐Dong Liu   +5 more
wiley   +1 more source

Investigating the characteristics of Clifford hypersurfaces and the unit sphere via a minimal immersion in $ S^{n+1} $

AIMS Mathematics
In this article, we find the different sufficient conditions for a compact minimal hypersurface $ M $ of the unit sphere $ S^{n+1}, n\in \mathbb{Z}^{+} $ to be the Clifford hypersurface $ S^{\ell }(\sqrt{\frac{\ell }{n}})\times S^{m}(\sqrt{\frac{m}{n}}),
Ibrahim Al-dayel
doaj   +1 more source

The Methylbismuth Dication: Pentagonal Pyramidal Coordination and Ligand‐Induced Lewis Superacidity

Angewandte Chemie International Edition, EarlyView.
The simplistic methylbismuth dication has been captured only by the aid of monodentate tetrahydrofuran (thf) ligands, [BiMe(thf)5]2+. The hexacoordinate species shows a very unusual pentagonal pyramidal coordination geometry. Unparalleled Lewis acidic and Lewis superacidic properties have been revealed by exploiting the coordination chemical properties
Johannes Schwarzmann, Tamina Z. Kirsch, Benedikt Narz, Crispin Lichtenberg   +3 more
wiley   +1 more source

On the embedded Nash problem

Forum of Mathematics, Pi
The embedded Nash problem for a hypersurface in a smooth algebraic variety is to characterize geometrically the maximal irreducible families of arcs with fixed order of contact along the hypersurface.
Nero Budur, Javier de la Bodega, Eduardo de Lorenzo Poza, Javier Fernández de Bobadilla, Tomasz Pełka   +4 more
doaj   +1 more source

Addressing Sustainability Challenges in Peptide Synthesis with Flow Chemistry and Machine Learning

Chemistry – A European Journal, EarlyView.
A synthetic protocol for polypeptides 6–58 residue long, using recyclable greener solvent mixture (Anisole/DMSO) was developed and compared to traditional SPPS methods and to state‐of‐the‐art synthesizers. Abstract The high cost and the large amount of toxic waste generated during peptide production overshadow the current technology, requiring the ...
Kristóf Ferentzi, Viktor Farkas, András Perczel   +2 more
wiley   +1 more source

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, EarlyView.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

Rigidity and Triviality of Gradient r-Almost Newton-Ricci-Yamabe Solitons

Mathematics
In this paper, we develop the concept of gradient r-Almost Newton-Ricci-Yamabe solitons (in brief, gradient r-ANRY solitons) immersed in a Riemannian manifold.
Mohd Danish Siddiqi, Fatemah Mofarreh
doaj   +1 more source