Results 61 to 70 of about 619,068 (307)
Frobenius techniques in birational geometry
This is a survey for the 2015 AMS Summer Institute on Algebraic Geometry about the Frobenius type techniques recently used extensively in positive characteristic algebraic geometry.
Patakfalvi, Zsolt
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In this study, exciting new bi‐/multi‐linear elastic behavior of soft elastic composites that accompany the activation of wrinkling in the embedded interfacial layers is analyzed. The new features and performance of these composite materials, including dramatic enhancements in energy storage, can be tailored by the concentration of interfacial layers ...
Narges Kaynia+2 more
wiley +1 more source
Lagrangian geometry of algebraic varieties [PDF]
Every algebraic variety can be regarded as a symplectic manifold being equipped with a Kahler form. Therefore it is natural to study lagrangian geometry of any algebraic variety. We present two basic constructions which can be applied to a sufficiently wide set of algebraic varieties.
arxiv
Phylogenetic Algebraic Geometry [PDF]
Phylogenetic algebraic geometry is concerned with certain complex projective algebraic varieties derived from finite trees. Real positive points on these varieties represent probabilistic models of evolution.
Eriksson, Nicholas+3 more
core
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
Dualities in convex algebraic geometry [PDF]
Convex algebraic geometry concerns the interplay between optimization theory and real algebraic geometry. Its objects of study include convex semialgebraic sets that arise in semidefinite programming and from sums of squares. This article compares three
Philipp Rostalski, Bernd Sturmfels
doaj
Derived Algebraic Geometry [PDF]
This text is a survey of derived algebraic geometry. It covers a variety of general notions and results from the subject with a view on the recent developments at the interface with deformation quantization.Comment: Final version.
Toën, Bertrand
core
Synthetic Active Liquid Crystals Powered by Acoustic Waves
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
Algebraic geometry in mixed characteristic [PDF]
Fix a prime number $p$. We report on some recent developments in algebraic geometry (broadly construed) over $p$-adically complete commutative rings. These developments include foundational advances within the subject as well as external applications.
arxiv
Advancement in Colloidal Metasurfaces: Approaches for Scalable Photonic Devices
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