Results 11 to 20 of about 804 (189)

On the deformation of Abelian integrals [PDF]

Letters in Mathematical Physics, 1996
We consider the deformation of abelian integrals which arose from the study of SG form factors. Besides the known properties they are shown to satisfy Riemann bilinear identity. The deformation of intersection number of cycles on hyperelliptic curve is introduced.
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Integral Points on Punctured Abelian Surfaces [PDF]

, 2002
We study the density of integral points on punctured abelian surfaces. Linear growth rates are observed experimentally.
Kresch, A, Tschinkel, Y
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The monotonicity of the ratio of two Abelian integrals [PDF]

Transactions of the American Mathematical Society, 2013
In this paper, we study the monotonicity of the ratio of two Abelian integrals \[ I 0
Liu, Changjian, Xiao, Dongmei
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2-ADIC INTEGRAL CANONICAL MODELS

Forum of Mathematics, Sigma, 2016
We use Lau’s classification of 2-divisible groups using Dieudonné displays to construct integral canonical models for Shimura varieties of abelian type at 2-adic places where the level is hyperspecial.
WANSU KIM, KEERTHI MADAPUSI PERA
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The effective Shafarevich conjecture for abelian varieties of ${\text {GL}_{2}}$-type

Forum of Mathematics, Sigma, 2021
In this article we establish the effective Shafarevich conjecture for abelian varieties over ${\mathbb Q}$ of ${\text {GL}_2}$-type. The proof combines Faltings’ method with Serre’s modularity conjecture, isogeny estimates and results from Arakelov ...
Rafael von Känel
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Aspects of higher-abelian gauge theories at zero and finite temperature: Topological Casimir effect, duality and Polyakov loops

Nuclear Physics B, 2019
Higher-abelian gauge theories associated with Cheeger-Simons differential characters are studied on compact manifolds without boundary. The paper consists of two parts: First the functional integral formulation based on zeta function regularization is ...
Gerald Kelnhofer
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On the Reduction of Abelian Integrals. [PDF]

Journal für die reine und angewandte Mathematik (Crelles Journal), 1873
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COMMON NEIGHBOURHOOD SPECTRUM AND ENERGY OF COMMUTING CONJUGACY CLASS GRAPH [PDF]

Journal of Algebraic Systems, 2023
In this paper, we compute the common neighbourhood (abbreviated as CN) spectrum and the common neighbourhood energy of commuting conjugacy class graph of several families of finite non-abelian groups.
Firdous Jannat, Rajat Nath
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Genus Integration, Abelianization, and Extended Monodromy [PDF]

International Mathematics Research Notices, 2019
Abstract Given a Lie algebroid we discuss the existence of a smooth abelian integration of its abelianization. We show that the obstructions are related to the extended monodromy groups introduced recently in [9]. We also show that this groupoid can be obtained by a path-space construction, similar to the Weinstein groupoid of [6], but ...
Contreras, Ivan, Fernandes, Rui Loja
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SEMI-ABELIAN SURFACES AND INTEGRABLE SYSTEMS [PDF]

Proceedings of the Edinburgh Mathematical Society, 2001
AbstractWe study some weight-homogeneous systems which are not algebraically completely integrable (ACI) in the sense of Adler and van Moerebeke, but whose invariant level surface completes into a semi-abelian variety by adding a set of points (thus ACI in the sense of Mumford).AMS 2000 Mathematics subject classification: Primary 37J35. Secondary 14H70;
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