Results 41 to 50 of about 2,108,594 (166)
Search for non-Abelian Majorana braiding statistics in superconductors
SciPost Physics Lecture Notes, 2020 This is a tutorial review of methods to braid the world lines of non-Abelian anyons (Majorana zero-modes) in topological superconductors. That "Holy Grail" of topological quantum information processing has not yet been reached in the laboratory, but ...
C. W. J. Beenakker
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Feature‐Level Analysis and Adversarial Transfer in Rotationally Equivariant Quantum Machine Learning
Advanced Quantum Technologies, Volume 9, Issue 11, November 2026.A detailed feature‐level analysis reveals how symmetry‐dependent features relate to adversarial transfer robustness in equivariant quantum machine learning models, paving the way for the design of future models with improved robustness. ABSTRACT Group‐equivariant quantum models are designed to exploit symmetry and can improve trainability, but it ...
Maureen Krumtünger
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On the Hodge conjecture for products of certain surfaces [PDF]
, 2003 In this thesis we prove the Hodge conjecture for products of smooth projective surfaces S(_1) x S(_2), where S(_2) = A is an Abelian surface and S (_1) is such that P(_g)(S(_1)) = 1, q = 2.
J. Ramón Marí, José +1 more
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Hyperbolicity and fundamental groups of complex quasi‐projective varieties (III): Applications
Proceedings of the London Mathematical Society, Volume 133, Issue 5, November 2026.Abstract This paper is Part III of a series of three. We begin by introducing the notion of h$h$‐special varieties, which can be seen as varieties “chain‐connected by the Zariski closures of entire curves.” We prove that if X$X$ is either a special smooth complex quasi‐projective variety in the sense of Campana or an h$h$‐special variety, then for any ...
Benoît Cadorel +2 more
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Every finite abelian group is the group of rational points of an ordinary abelian variety over F2, F3 and F5 [PDF]
, 2023 We show that every finite abelian group occurs as the group of rational points of an ordinary abelian variety over F 2, F 3 and F 5. We produce partial results for abelian varieties over a general finite field F q.
Marseglia, Stefano +3 more
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Note on quasivarieties generated by finite pointed abelian groups
Open MathematicsWe prove that a finite pointed abelian group generates a finitely axiomatizable variety that has a finite quasivariety lattice. As a consequence, we obtain that a quasivariety generated by a finite pointed abelian group has a finite basis of quasi ...
Basheyeva Ainur, Lutsak Svetlana
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Miyaoka–Yau inequalities and the topological characterization of certain klt varieties
Comptes Rendus. MathématiqueBall quotients, hyperelliptic varieties, and projective spaces are characterized by their Chern classes, as the varieties where the Miyaoka–Yau inequality becomes an equality.
Greb, Daniel +2 more
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Detectable gravitational wave signals from inflationary preheating
Physics Letters B, 2023 We consider gravitational wave (GW) production during preheating in hybrid inflation models where an axion-like waterfall field couples to Abelian gauge fields.
Yanou Cui, Evangelos I. Sfakianakis
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Advanced Intelligent Discovery, Volume 2, Issue 5, October 2026.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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The equations of singular loci of ample divisors on (subvarieties of) abelian varieties
Le Matematiche, 2008 In this paper we consider ideal sheaves associated to the singular loci of a divisor in a linear system |L| of an ample line bundle on a complex abelian variety.
Luigi Lombardi, Francesco Malaspina
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