Results 51 to 60 of about 275,582 (319)
Real plane algebraic curves [PDF]
Expositiones Mathematicae, 2002 This paper provides an elementary exposition of affine and projective real plane curves. Where possible, elementary proofs are given, but to some extent, one must make use of results from algebraic geometry (over the complex numbers) and real algebraic geometry.
openaire +3 more sources
Advanced Engineering Materials, EarlyView.Mechanical metamaterials capable of compressive stiffness tunability, shape morphing, and post‐fabrication modularity. Herein, the 3D unit cell design is based on an assembly of bistable von Mises trusses that exhibit a switch in compressive stiffness and resting height from one stable state to the other.
Yannis Liétard +2 more
wiley +1 more source
The Ceresa class and tropical curves of hyperelliptic type
Forum of Mathematics, SigmaWe define a new algebraic invariant of a graph G called the Ceresa–Zharkov class and show that it is trivial if and only if G is of hyperelliptic type, equivalently, G does not have as a minor the complete graph on four vertices or the loop of three ...
Daniel Corey, Wanlin Li
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Tropicalization of the mirror curve near the large radius limit [PDF]
arXiv, 2022 The mirror of a toric orbifold is an affine curve called the mirror curve. In this paper, firstly, we recall the basic tools in tropical geometry and give a definition of the mirror curve. Then we calculate the tropical spine of the mirror curve for a smooth toric Calabi-Yau 3-fold near the large radius limit.
arxiv
Advanced Functional Materials, EarlyView.The TOC showcases the chemical structure of the emitter tCzBT2B as an “MVP athlete” in a stadium surrounded by. spotlights and cheering fans celebrating its impressive performance in organic light‐emitting diodes (OLEDs). The stats for this emitter and its device are detailed below.
Dongyang Chen +7 more
wiley +1 more source
Realization of tropical curves in abelian surfaces [PDF]
arXiv, 2020 We construct algebraic curves in abelian surfaces starting from tropical curves in real tori. We give a necessary and sufficient condition for a tropical curve in a real torus to be realizable by an algebraic curve in an abelian surface. When the condition is satisfied, the number of algebraic curves can be computed by a combinatorial formula.
arxiv
Synthetic Active Liquid Crystals Powered by Acoustic Waves
Advanced Materials, EarlyView.A fully synthetic active liquid crystal, energized by an acoustic field, is presented. This system exhibits active nematic behavior, tunable topological defect dynamics, and persistent hydrodynamic vortices at high activity levels. The material maintains stable properties while enabling precise activity control in a wide range.
Andrey Sokolov +3 more
wiley +1 more source
Néron models of algebraic curves [PDF]
Transactions of the American Mathematical Society, 2015 Let S be a Dedekind scheme with field of functions K. We show that if X_K is a smooth connected proper curve of positive genus over K, then it admits a N ron model over S, i.e., a smooth separated model of finite type satisfying the usual N ron mapping property.
Liu, Qing, Tong, Jilong
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Advancement in Colloidal Metasurfaces: Approaches for Scalable Photonic Devices
Advanced Materials Interfaces, EarlyView.This perspective explores colloidal metasurfaces composed of plasmonic and emitting nanoparticles assembled by laser interference lithography and template‐assisted self‐assembly methods. Precise design strategies achieve directional emission, low‐threshold lasing, and tunable photonic bandgaps.
Sezer Seçkin +2 more
wiley +1 more source
On Addition Formulae for Sigma Functions of Telescopic Curves
Symmetry, Integrability and Geometry: Methods and Applications, 2013 A telescopic curve is a certain algebraic curve defined by m−1 equations in the affine space of dimension m, which can be a hyperelliptic curve and an (n,s) curve as a special case.
Takanori Ayano, Atsushi Nakayashiki
doaj +1 more source