Results 11 to 20 of about 2,997,696 (239)
ElectricaIn this paper, an optical reflector is designed based on an all-dielectric metamaterial comprising silicon double bars with bent arms positioned on the surface of a silica layer.
Ali Akbar Mashkour +3 more
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Smoothing of semistable Fano varieties [PDF]
Osaka Journal of Mathematics, 2016 Given any field $k$ (not necessarily perfect), we study the smoothing of a semistable Fano variety over $k$. In characteristic 0, the reduced semistable Fano degenerate fibers of Mori fibrations are classified. In positive characteristic, under a suitable $W_2$ lifting assumption, we prove that a semistable Fano variety always appears as a degenerate ...
Shentu, Junchao
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Infinitesimal categorical Torelli theorems for Fano threefolds
Journal of Pure and Applied Algebra, 2023 . Let X be a smooth Fano variety and K u ( X ) its Kuznetsov component. A Torelli theorem for K u ( X ) states that K u ( X ) is uniquely determined by a certain polarized abelian variety associated to it.
Augustinas Jacovskis +3 more
semanticscholar +3 more sources
Scanning Tunnelling Microscopy Study of Spin Interactions in Transition‐Metal Phthalocyanine Adsorbates: Mechanisms, Signatures, and Control Strategies [PDF]
Advanced Science, Volume 13, Issue 33, 15 June 2026.Transition‐metal phthalocyanine (TMPc) molecules serve as model systems for probing the spin interactions. This review summarizes recent scanning tunnelling microscopy advances on the spin‐related phenomena in TMPc adsorbates, including Kondo effect, spin excitations, and Yu–Shiba–Rusinov states, emphasizing the mechanisms and control strategies, and ...
Fudi Zhou +6 more
wiley +2 more sources
On Fano and weak Fano Bott–Samelson–Demazure–Hansen varieties
Journal of Pure and Applied Algebra, 2018 Accepted in Journal of Pure and Applied ...
B. Narasimha Chary +1 more
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Singularities of Cox rings of Fano varieties
Journal de Mathématiques Pures et Appliquées, 2013 Let $X$ be a smooth complete Fano variety over $\mathbb{C}$. We show that the Cox ring $\bigoplus_{L\in\text{Pic}(X)}H^0(X,\mathcal{O}_X(L))$ is Gorenstein with canonical singularities.
Brown, Morgan, Morgan Brown
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Nonsolidity of uniruled varieties
Forum of Mathematics, Sigma, 2023 We give conditions for a uniruled variety of dimension at least 2 to be nonsolid. This study provides further evidence to a conjecture by Abban and Okada on the solidity of Fano 3-folds.
Livia Campo, Tiago Duarte Guerreiro
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Simplicity of tangent bundles of smooth horospherical varieties of Picard number one
Comptes Rendus. Mathématique, 2022 Recently, Kanemitsu has discovered a counterexample to the long-standing conjecture that the tangent bundle of a Fano manifold of Picard number one is (semi)stable. His counterexample is a smooth horospherical variety.
Hong, Jaehyun
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Rationally connected rational double covers of primitive Fano varieties [PDF]
Épijournal de Géométrie Algébrique, 2020 We show that for a Zariski general hypersurface $V$ of degree $M+1$ in ${\mathbb P}^{M+1}$ for $M\geqslant 5$ there are no Galois rational covers $X\dashrightarrow V$ of degree $d\geqslant 2$ with an abelian Galois group, where $X$ is a rationally ...
Aleksandr V. Pukhlikov
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Cylinders in Fano varieties [PDF]
EMS Surveys in Mathematical Sciences, 2021 This paper is a survey about cylinders in Fano varieties and related problems.
Ivan Cheltsov +3 more
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