Results 61 to 70 of about 2,108,594 (166)
On the number of Abelian subvarieties of reduced degree on an Abelian variety [PDF]
Due to Poincaré's Reducibility Theorem, we know that for an Abelian variety A there exists an isogeny decomposition of A into simple factors. However, this decomposition hides many interesting properties of the set of Abelian subvarieties of A.
Muñoz Santander, Camila
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The Picard Group of the Universal Abelian Variety and the Franchetta Conjecture for Abelian Varieties [PDF]
, 2019 We compute the Picard group of the universal Abelian variety over the moduli stack Ag,n of principally polarized Abelian varieties over C with a symplectic principal level n-structure.
Pirisi R. +5 more
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Physical Review Research, 2021 With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordinary or vector global symmetry for p=0 and p=1 respectively).
Juven Wang, Kai Xu, Shing-Tung Yau
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Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley +1 more source
Merons beyond Yang-Mills theory
Journal of High Energy PhysicsWithin the wide variety of topological solitons supported by Yang-Mills theory, merons occupy a particularly distinguished role. Despite their simplicity, they represent genuinely non-Abelian configurations that can be regarded as the fundamental ...
Borja Diez, Luis Guajardo
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Non‐Hermitian Stealthy Hyperuniformity
Advanced Science, Volume 13, Issue 49, 3 September 2026.A framework for non‐Hermitian extensions of hyperuniformity and stealthiness is proposed, generalizing PT‐symmetric gain‐loss crystals to correlated disorder in the weak‐scattering limit. By engineering real‐imaginary correlations of the material potential, this framework enables directional scattering phases inaccessible in Hermitian materials ...
Gitae Lee +8 more
wiley +1 more source
Geometry of essential matrix ranges and the Smith–Ward problem for operator systems
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract A d$d$‐tuple of bounded linear selfadjoint operators acting on an infinite‐dimensional separable Hilbert space is said to have the Smith–Ward property if the identity map of the image of the operator system in the Calkin algebra has a completely positive lift.
Douglas Farenick +2 more
wiley +1 more source
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The tropical n$n$‐gonal construction was introduced in recent work by the first author and D. Zakharov and structural results for n=2,3$n = 2,3$ were established. In this paper, we explore the construction for n=4$n = 4$ and prove a tropical analogue of Donagi's theorem which states that the tetragonal construction is a triality which ...
Felix Röhrle, Thomas Saillez
wiley +1 more source
On shortest crucial words avoiding abelian powers [PDF]
, 2010 Let k ≥ 2 be an integer. An abeliank th power is a word of the form X1 X2 ⋯ Xk where Xi is a permutation of X1 for 2 ≤ i ≤ k. A word W is said to be crucial with respect to abelian kth powers if W avoids abelian kth powers, but W x ends with an abelian ...
Sergey Kitaev +11 more
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A characterization of Jacobians by the existence of Picard bundles
Le Matematiche, 2008 Based on the Matsusaka-Ran criterion we give a criterion to characterize when a principal polarized abelian variety is a Jacobian by the existence of Picard bundles.
Ana C. López Martín +2 more
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