Results 61 to 70 of about 472 (192)
A note on local formulae for the parity of Selmer ranks
Bulletin of the London Mathematical Society, EarlyView.Abstract In this note, we provide evidence for a certain ‘twisted’ version of the parity conjecture for Jacobians, introduced in prior work of Dokchitser, Green, Konstantinou and the author. To do this, we use arithmetic duality theorems for abelian varieties to study the determinant of certain endomorphisms acting on p∞$p^\infty$‐Selmer groups.
Adam Morgan
wiley +1 more source
Canonical Differential Calculi for Finitely Generated Abelian Groups and Their Fermionic Representations [PDF]
Communications in Theoretical Physics, 2002 Canonical differential calculus is defined for finitely generated abelian group with an involution existing consistently. Two such canonical calculi are found out. Fermionic representation for canonical calculus is defined based on quantized calculus. Fermionic representations for above-mentioned two canonical calculi are searched.
Xiong Chuan-Sheng +2 more
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Strong External Difference Families and Classification of α‐Valuations
Journal of Combinatorial Designs, Volume 33, Issue 9, Page 343-356, September 2025.ABSTRACT One method of constructing ( a 2 + 1 , 2 , a , 1 )‐SEDFs (i.e., strong external difference families) in Z a 2 + 1 makes use of α‐valuations of complete bipartite graphs K a , a. We explore this approach and we provide a classification theorem which shows that all such α‐valuations can be constructed recursively via a sequence of “blow‐up ...
Donald L. Kreher +2 more
wiley +1 more source
Axion‐Like Interactions and CFT in Topological Matter, Anomaly Sum Rules and the Faraday Effect
Advanced Physics Research, Volume 4, Issue 7, July 2025.This review investigates the connection between chiral anomalies and their manifestation in topological materials, using both perturbative methods based on ordinary quantum field theory and conformal field theory (CFT). It emphasizes the role of CFT in momentum space for parity‐odd correlation functions, and their reconstruction by the inclusion of a ...
Claudio Corianò +4 more
wiley +1 more source
On the automorphisms of the group ring of a finitely generated free abelian group [PDF]
Proceedings of the Edinburgh Mathematical Society, 1988 Let R be an associative ring with 1 and G a finitely generated torsion-free abelian group. In this note, we classify all R-automorphisms of the group ring RG. The special case where G is infinite cyclic was previously settled in [8], and our interest in this problem was rekindled by the recent paper of Mehrvarz and Wallace [7], who carried out the ...
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On the Terwilliger Algebra of the Group Association Scheme of the Symmetric Group Sym ( 7 )
Journal of Combinatorial Designs, Volume 33, Issue 7, Page 261-274, July 2025.ABSTRACT Terwilliger algebras are finite‐dimensional semisimple algebras that were first introduced by Paul Terwilliger in 1992 in studies of association schemes and distance‐regular graphs. The Terwilliger algebras of the conjugacy class association schemes of the symmetric groups Sym ( n ), for 3 ≤ n ≤ 6, have been studied and completely determined ...
Allen Herman +2 more
wiley +1 more source
Advances in Mathematics, 2012 In this paper we bring together results about the density of subsemigroups of abelian Lie groups, the minimal number of topological generators of abelian Lie groups and a result about actions of algebraic groups. We find the minimal number of generators of a finitely generated abelian semigroup or group of matrices with a dense or a somewhere dense ...
Abels, Herbert, Manoussos, Antonios
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General infinitesimal variations of the Hodge structure of ample curves in surfaces
Mathematische Nachrichten, Volume 298, Issue 7, Page 2282-2308, July 2025.Abstract Given a smooth projective complex curve inside a smooth projective surface, one can ask how its Hodge structure varies when the curve moves inside the surface. In this paper, we develop a general theory to study the infinitesimal version of this question in the case of ample curves.
Víctor González‐Alonso, Sara Torelli
wiley +1 more source
Abelian varieties and finitely generated Galois groups [PDF]
, 2021 Bo‐Hae Im, Michael Larsen
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physica status solidi (b), Volume 262, Issue 7, July 2025.This work explores the design of Majorana zero modes in InAsP quatum dots within InP nanowires coupled to a p‐type superconductor. Using atomistic calculations, exact diagonalization, and the variational quantum eigensolver (VQE) method, a variational ansatz for capturing ground state in the topological phase is introduced.
Mahan Mohseni +7 more
wiley +1 more source