Results 71 to 80 of about 3,771 (225)
Fourier Expansion‐Based Approach to the Parameter Space of Classical Systems
Annalen der Physik, Volume 538, Issue 7, July 2026.ABSTRACT We propose a new approach to compute the classical metric tensor (CMT) and the Hannay curvature using Fourier series expansions in action‐angle variables. This approach circumvents the need for complex time‐domain integrals or the construction of generating functions, replacing them with algebraic combinations of Fourier coefficients. We prove
Marcos J. Hernández +3 more
wiley +1 more source
Two problems on varieties of groups generated by wreath products
International Journal of Mathematics and Mathematical Sciences, 2002 We outline results on varieties of groups generated by Cartesian and direct wreath products of abelian groups and pose two problems related to our recent results in that direction. A few related topics are also considered.
Vahagn H. Mikaelian
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GENERIC VANISHING THEORY VIA MIXED HODGE MODULES
Forum of Mathematics, Sigma, 2013 We extend most of the results of generic vanishing theory to bundles of holomorphic forms and rank-one local systems, and more generally to certain coherent sheaves of Hodge-theoretic origin associated with irregular varieties. Our main tools are Saito’s
MIHNEA POPA, CHRISTIAN SCHNELL
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Degenerating abelian varieties via log abelian varieties [PDF]
Asian Journal of Mathematics, 2018 For any split totally degenerate abelian variety over a complete discrete valuation field, we construct a log abelian variety over the discrete valuation ring extending the given abelian variety. This generalizes the log Tate curve of Kato.
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Engineering Reports, Volume 8, Issue 7, July 2026.Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid +3 more
wiley +1 more source
Abelian varieties over finite fields [PDF]
, 2003 The Lenstra Treurfeest — A farewell conference, in honor of Hendrik W. Lenstra jr Berkeley, 21/22/23 - III - 2003 Some ideas, principles of thought and proof: • Study abelian varieties over finite fields, but also abelian varieties varying in a ...
Oort, F.
core
Building Abelian Functions with Generalised Baker-Hirota Operators
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We present a new systematic method to construct Abelian functions on Jacobian varieties of plane, algebraic curves. The main tool used is a symmetric generalisation of the bilinear operator defined in the work of Baker and Hirota.
Matthew England, Chris Athorne
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Systèmes dynamiques algébriquement complètement intégrables et géométrie
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 In this paper I present the basic ideas and properties of the complex algebraic completely integrable dynamical systems. These are integrable systems whose trajectories are straight line motions on complex algebraic tori (abelian varieties). We make, via
Lesfari A.
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The Modularity of an Abelian Variety
AxiomsWe introduce the concept of the modularity of an abelian variety defined over the rational number field extending the modularity of an elliptic curve. We discuss the modularity of an abelian variety over Q. We conjecture that a simple abelian variety over Q is modular.
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Subvarieties of Abelian Varieties
, 2001 We discuss various constructions which allow one to embed a principally polarized abelian variety in the jacobian of a curve. Each of these gives representatives of multiples of the minimal cohomology class for curves which in turn produce subvarieties of higher dimension representing multiples of the minimal class.
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