Results 51 to 60 of about 329 (150)
The Enriquez connection for higher genus polylogarithms
Journal of High Energy PhysicsWe study the variation of the Enriquez connection for higher genus polylogarithms under degenerations of Riemann surfaces with marked points, and show that this connection becomes the connection constructed by the author for degenerating families of ...
Takashi Ichikawa
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On the minimal surfaces of Riemann
Commentarii Mathematici Helvetici, 1992 Let \(\gamma_ 1\), \(\gamma_ 2\) be plane Jordan curves in horizontal planes \(P_ 1\), \(P_ 2\) of \(\mathbb{R}^ 3\). It is known, under simple conditions on \(\gamma_ 1\) and \(\gamma_ 2\), that they bound a least area minimal annulus between \(P_ 1\) and \(P_ 2\). \textit{W. H. Meeks III} and \textit{R. White} [Bull. Am. Math. Soc., New Ser.
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Simple geodesics on Riemann surfaces [PDF]
Proceedings of the American Mathematical Society, 1982 As observed by Myrberg, on any closed hyperbolic surface the closed geodesics cover a dense subset. Below, it is shown that the simple geodesics cannot cover such parts of a surface which are sufficiently thin.
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The Long Shadow of Karl Weierstraß Over the Calculus of Variations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
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Fubini–Study forms on punctured Riemann surfaces
Comptes Rendus. MathématiqueIn this paper we consider a punctured Riemann surface endowed with a Hermitian metric that equals the Poincaré metric near the punctures, and a holomorphic line bundle that polarizes the metric. We show that the quotient of the induced Fubini–Study forms
Apredoaei, Razvan +2 more
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Geoscience Data Journal, Volume 13, Issue 4, October 2026.Physicochemical in situ data of BoB close to the newly declared Naf MPA of Bangladesh. ABSTRACT Physicochemical data acquisition was carried out within the northeastern Bay of Bengal (BoB), adjacent to the newly declared Naf Marine Protected Area (Naf MPA) of Bangladesh.
Mohammad Tanzil Hasan +3 more
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On Subsurfaces of Some Riemann Surfaces [PDF]
Nagoya Mathematical Journal, 1959 In the theory of meromorphic functions, it is important to investigate the properties of covering surfaces generated by their inverse functions. For this purpose, the study of properties of a non-compact region of a Riemann surface is useful.
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
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Riemann surfaces with a quasi large abelian group of automorphisms
Le Matematiche, 2011 In this work we classify all Riemann surfaces having a quasi large abelian group of automorphisms, i.e. having an abelian group of automorphisms of order strictly bigger than 2(g−1), where g denotes the genus of the Riemann surface.
Roberto Pignatelli, Carmen Raso
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Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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