Results 61 to 70 of about 2,997,696 (239)

Toric $G$-Fano Threefolds

open access: yes, 2022
We classify toric Fano threefolds having at worst terminal singularities such that a rank of a $G$-invariant part of a class group equals one, where $G$ is a group acting on the variety by ...
Sarikyan, Arman
core   +1 more source

A decomposition theorem for $\mathbb{Q}$-Fano Kähler–Einstein varieties

open access: yesComptes Rendus. Mathématique
Let $X$ be a $\mathbb{Q}$-Fano variety admitting a Kähler–Einstein metric. We prove that up to a finite quasi-étale cover, $X$ splits isometrically as a product of Kähler–Einstein $\mathbb{Q}$-Fano varieties whose tangent sheaf is stable with respect to ...
Druel, Stéphane   +2 more
doaj   +1 more source

Discrete Wilson Lines in F-Theory

open access: yesAdvances in High Energy Physics, 2011
F-theory models are constructed where the 7 -brane has a nontrivial fundamental group. The base manifolds used are a toric Fano variety and a smooth toric threefold coming from a reflexive polyhedron.
Volker Braun
doaj   +1 more source

K-stability of Fano spherical varieties [PDF]

open access: yesAnnales scientifiques de l'École normale supérieure, 2020
We prove a criterion for K-stability of a $\mathbb{Q}$-Fano spherical variety with respect to equivariant special test configurations, in terms of its moment polytope and some combinatorial data associated to the open orbit. Combined with the equivariant version of the Yau-Tian-Donaldson conjecture for Fano manifolds proved by Datar and Székelyhidi, it
openaire   +2 more sources

Laser‐Induced Periodic Phase‐Transition of 2D‐MoTe2 Nanograting Template for Frequency‐Shift Digital‐SERS Immunoassay of Autoimmune Disease

open access: yesAdvanced Science, EarlyView.
A protocol of fs‐laser‐induced periodic phase‐transition of 2D‐MoTe2 template, inducing AuNPs@1T’‐MoTe2 nanograting, is developed. The labeled AuNPs@1T’‐MoTe2 substrate conjugated with specialized immunoglobulin G demonstrates an unexpectedly high discrimination accuracy close to unity for serological diagnosis of rheumatoid arthritis by frequency ...
Yao Yao   +9 more
wiley   +1 more source

Gorenstein spherical Fano varieties

open access: yes, 2015
We obtain a combinatorial description of Gorenstein spherical Fano varieties in terms of certain polytopes, generalizing the combinatorial description of Gorenstein toric Fano varieties by reflexive polytopes and its extension to Gorenstein horospherical
Gagliardi, Giuliano   +1 more
core   +1 more source

A Dual‐Channel Synergistic Ultrasensitive Biosensor for Tumor Liquid Biopsy

open access: yesAdvanced Science, EarlyView.
ABSTRACT Liquid biopsy technology, which detects circulating tumor DNA (ctDNA) in cerebrospinal fluid, plays a crucial role in the early diagnosis and precision treatment of gliomas. However, the intrinsically low abundance and rapid clearance of ctDNA pose substantial challenges for conventional analytical techniques, such as droplet digital PCR and ...
Yu Sun   +12 more
wiley   +1 more source

Recent Advances in Programmable Metasurfaces and Meta‐Devices

open access: yesAdvanced Electronic Materials, EarlyView.
Programmable metasurfaces enable various novel functionalities by dynamically tuning electromagnetic wavefronts. This article provides a comprehensive review of recent advances in microwave and terahertz programmable metasurfaces, covering electrical, thermal, optical, and mechanical control mechanisms.
Linda Shao   +4 more
wiley   +1 more source

Mechanically Induced Switching Between Orbital‐ and Fano‐Resonance Rectification in a Dual‐Anchored Molecular Junction

open access: yesAngewandte Chemie, Volume 138, Issue 25, 15 June 2026.
Mechanical control of anchoring chemistry enables switching between orbital‐driven and interference‐driven rectification in a single‐molecule junction. ABSTRACT Achieving precise control over charge transport through individual molecules is central to advancing single‐molecule electronics.
Xin Sun   +8 more
wiley   +2 more sources

Super-rigid affine Fano varieties [PDF]

open access: yesCompositio Mathematica, 2018
We study a wide class of affine varieties, which we call affine Fano varieties. By analogy with birationally super-rigid Fano varieties, we define super-rigidity for affine Fano varieties, and provide many examples and non-examples of super-rigid affine Fano varieties.
Cheltsov, Ivan   +2 more
openaire   +5 more sources

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