Results 151 to 160 of about 804 (189)
Counterexamples to the MMP for 1-foliations in positive characteristic. [PDF]
Bernasconi F.
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<i>P</i>-adic <i>L</i>-functions for GL ( 3 ). [PDF]
Loeffler D, Williams C.
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Abelian and non-Abelian bosonization in the path-integral framework
Physical Review D, 1985Abelian and non-Abelian bosonization of two-dimensional models is discussed within the path-integral framework. Concerning the Abelian case, the equivalence between the massive Thirring and the sine-Gordon models is rederived in a very simple way by making a chiral change in the fermionic path-integral variables.
C M Naon
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The monotonicity of ratios of some Abelian integrals
Bulletin des Sciences Mathématiques, 2021In this paper, the authors study the monotonicity of the ratio of the abelian integrals \[\frac{\oint_{\gamma_i(h)} xy\ \mathrm{d}x}{\oint_{\gamma_i(h)} y\ \mathrm{d}x},\] in an interval, where \(i=1,2\), and \(\gamma_i(h)\) is a compact component of some hyperelliptic curves with genus 2 as \(h\in\gamma_i(h)\).
Sun, Xianbo, Wang, Na, Yu, Pei
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Integral points on Abelian varieties
Let K be a number field, S a finite set of places of K, \(R_ S\) the ring of S-integers, and \(A| K\) an abelian variety. A conjecture of \textit{S. Lang} [''Fundamentals of diophantine geometry'' (1983; Zbl 0528.14013); p. 219] asserts, for every affine subset U of A, the finiteness of the set of points of U with coordinates in \(R_ S\).
Joseph Silverman, Silverman Joseph H
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Abelian Integrals and Limit Cycles
Qualitative Theory of Dynamical Systems, 2011In this survey paper, the author discusses the interconnection of the problem of estimating the number of limit cycles of planar polynomial systems (Hilbert's 16th problem) and the problem of estimating the number of isolated zeros of certain abelian integrals. In the first part of the paper, some basic concepts and methods are introduced.
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Non-Abelian prolongations and complete integrability
Physica D: Nonlinear Phenomena, 1981zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leo, M. +4 more
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Some Identities for Abelian Integrals
American Journal of Mathematics, 1986The author studies subvarieties in the Jacobi variety of a compact Riemann surface at which certain matrices of second-order theta-functions have exceptionally low ranks. The obtained linear relations between second-order theta-functions involve Abelian integrals and present themselves a natural generalization of Fay's trisecant formula.
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Inversion of abelian integrals
Archiv der Mathematik, 1988Given a projective non-singular curve of genus g and an integer \(k\geq 2g- 1\), the natural map from the k-symmetric product of the curve to the jacobian is a projective bundle. The pull-back of this bundle to the universal cover of the jacobian is trivial and it should be possible to describe the bundle by means of multiplicative factors. This is the
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