Results 61 to 70 of about 1,944,105 (329)

Troisi\`eme groupe de cohomologie non ramifi\'ee des torseurs universels sur les surfaces rationnelles [PDF]

Épijournal de Géométrie Algébrique, 2018
Let $k$ a field of characteristic zero. Let $X$ be a smooth, projective, geometrically rational $k$-surface. Let $\mathcal{T}$ be a universal torsor over $X$ with a $k$-point et $\mathcal{T}^c$ a smooth compactification of $\mathcal{T}$. There is an open
Yang Cao
doaj   +1 more source

Le probl\`eme de la sch\'ematisation de Grothendieck revisit\'e [PDF]

Épijournal de Géométrie Algébrique, 2020
The objective of this work is to reconsider the schematization problem of [6], with a particular focus on the global case over Z. For this, we prove the conjecture [Conj. 2.3.6][15] which gives a formula for the homotopy groups of the schematization of a
Bertrand Toën
doaj   +1 more source

Unprecedented Spin‐Lifetime of Itinerant Electrons in Natural Graphite Crystals

Advanced Functional Materials, EarlyView.
Graphite exhibits extraordinary spintronic potential, with electron spin lifetimes reaching 1,000 ns at room temperature ‐ over 100 times longer than graphene‐based devices. Magnetic resonance spectroscopy reveals strong anisotropy: out‐of‐plane spins live 50 times longer than their in‐plane counterparts.
Bence G. Márkus, Dávid Beke, Lili Vajtai, András Jánossy, László Forró, Ferenc Simon   +5 more
wiley   +1 more source

Algebraic Geometry [PDF]

, 1990
Abstract While non-Euclidean and Riemannian geometry were being created, the projective geometers were pursuing their theme. As we have seen, the two areas were linked by the work of Cayley and Klein. After the algebraic method became widely used in projective geometry the problem of recognizing what properties of geometrical figures are
  +4 more sources

The LLV Algebra for Primitive Symplectic Varieties with Isolated Singularities [PDF]

Épijournal de Géométrie Algébrique
We extend results of Looijenga--Lunts and Verbitsky and show that the total Lie algebra $\mathfrak g$ for the intersection cohomology of a primitive symplectic variety $X$ with isolated singularities is isomorphic to $$\mathfrak g \cong \mathfrak{so ...
Benjamin Tighe
doaj   +1 more source

Troisi\`eme groupe de cohomologie non ramifi\'ee d'un solide cubique sur un corps de fonctions d'une variable [PDF]

Épijournal de Géométrie Algébrique, 2018
En combinant une m\'ethode de C. Voisin avec la descente galoisienne sur le groupe de Chow en codimension $2$, nous montrons que le troisi\`eme groupe de cohomologie non ramifi\'ee d'un solide cubique lisse d\'efini sur le corps des fonctions d'une ...
Jean-Louis Colliot-Thélène, Alena Pirutka   +1 more
doaj   +1 more source

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, Taewoo Ha, Hojun Lee, Kyung Ik Sim, Insu Baek, Seok Joon Yun, Kyujoon Lee, Hyun‐Woo Lee, Young Hee Lee   +8 more
wiley   +1 more source

On the irrationality of moduli spaces of projective hyperk\"ahler manifolds [PDF]

Épijournal de Géométrie Algébrique
The aim of this paper is to estimate the irrationality of moduli spaces of hyperk\"ahler manifolds of types K3$^{[n]}$, Kum$_{n}$, OG6, and OG10. We prove that the degrees of irrationality of these moduli spaces are bounded from above by a universal
Daniele Agostini, Ignacio Barros, Kuan-Wen Lai   +2 more
doaj   +1 more source

Manipulating Individual Topological Solitons and Bisolitons in an Electronic System

Advanced Materials, EarlyView.
While localized topological modes in quantum materials promise loss‐less delivery of classical and quantum information, manipulating them individually has been challenging. This work succeeded in manipulating topological solitons formed along atomic wires on silicon surfaces with high reproducibility in various ways, including translating, transforming
Taehwan Im, Jae Whan Park, Han Woong Yeom   +2 more
wiley   +1 more source

Experimental Test of the Three‐Setting Clauser–Horne–Shimony–Holt Inequality with Nonmaximally Orbital Angular Momentum Entangled States

Advanced Photonics Research, EarlyView.
Herein, the maximum violation of the three‐setting Clauser–Horne–Shimony–Holt (CHSH) inequality using nonmaximally entangled photons with orbital angular momentum is demonstrated. By mapping the optimization problem to maximizing a triangle's perimeter inscribed in an ellipse, the experiment validates the geometric approach and highlights the ...
Dongkai Zhang, Xiaodong Qiu, Lixiang Chen   +2 more
wiley   +1 more source