Results 51 to 60 of about 1,925,109 (294)
Phylogenetic Algebraic Geometry [PDF]
, 2004 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
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Geometry on arc spaces of algebraic varieties
, 2000 This paper is a survey on arc spaces, a recent topic in algebraic geometry and singularity theory. The geometry of the arc space of an algebraic variety yields several new geometric invariants and brings new light to some classical invariants.Comment: 22
Denef, J., Loeser, F.
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Advanced Engineering Materials, EarlyView.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
On a theorem of Campana and P\u{a}un [PDF]
Épijournal de Géométrie Algébrique, 2017 Let $X$ be a smooth projective variety over the complex numbers, and $\Delta \subseteq X$ a reduced divisor with normal crossings. We present a slightly simplified proof for the following theorem of Campana and P\u{a}un: If some tensor power of the ...
Christian Schnell
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Advanced Functional Materials, EarlyView.This work utilizes poly(heptazine imides) as a model system to demonstrate how fine‐tuning the crystal structure influences the photocatalytic properties of layered carbon nitrides in the hydrogen evolution reaction. In particular, the nature of rotational defects and the hydration shell of cations are key contributors to enhanced hydrogen evolution ...
Diana V. Piankova +11 more
wiley +1 more source
Prime Fano threefolds of genus 12 with a $G_m$-action [PDF]
Épijournal de Géométrie Algébrique, 2018 We give an explicit construction of prime Fano threefolds of genus 12 with a $G_m$-action, describe their isomorphism classes and automorphism groups.
Alexander Kuznetsov, Yuri Prokhorov
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Noncommutative geometry of algebraic curves
, 2009 A covariant functor from the category of generic complex algebraic curves to a category of the AF-algebras is constructed. The construction is based on a representation of the Teichmueller space of a curve by the measured foliations due to Douady ...
Nikolaev, Igor
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Spatiotemporally Resolved Orbital Hall Effect in a Topological Semimetal
Advanced Materials, EarlyView.Real‐space mapping of orbital angular momentum (OAM) transport is achieved using contact‐free polarimetric terahertz spectroscopy. This principle is applied to the topological semimetal Td‐WTe2, revealing the spatial separation of electrons into two distinct regions characterized by opposite out‐of‐plane OAM (±Lz).
Byung Cheol Park +8 more
wiley +1 more source
Dualities in convex algebraic geometry [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2010 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
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Numerical algebraic geometry and semidefinite programming
Results in Applied Mathematics, 2021 Standard interior point methods in semidefinite programming can be viewed as tracking a solution path for a homotopy defined by a system of bilinear equations.
Jonathan D. Hauenstein +3 more
doaj +1 more source