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 Author：Kenji Hashimoto , Hwayoung Lee , Kazushi Ueda Data Source：[J].manuscripta mathematica(IF 0.392), 2017, Vol.153 (1-2), pp.35-51Springer Abstract：Triangle singularities are Fuchsian singularities associated with von Dyck groups, which are index two subgroups of Schwarz triangle groups. Hypersurface triangle singularities are classified by Dolgachev, and give 14 exceptional unimodal singularities classified by Arnold. We in...
 Author：Junxian Li , Maria Nastasescu , Arindam Roy ... Data Source：[J].manuscripta mathematica(IF 0.392), 2017, Vol.154 (1-2), pp.195-223Springer Abstract：We consider a family of approximations of the Dedekind zeta function $$\zeta _K(s)$$ of a number field $$K/\mathbb {Q}$$ . Weighted $$L^2$$ -norms of the difference of two such approximations of $$\zeta _K(s)$$ are computed. We work with a weight which is a compactly supported sm...
 Author：Atsushi Atsuji Data Source：[J].manuscripta mathematica(IF 0.392), 2017, Vol.154 (1-2), pp.129-146Springer Abstract：We discuss when subharmonic functions are submartingales along Brownian motion on Riemannian manifolds. From some techniques in our discussion we can obtain $$L^1$$ -Liouville theorems for subharmonic functions and Liouville type theorems for holomorphic maps from Kähler man...
 Author：Ruiwei Xu , Lingyun Zhu Data Source：[J].manuscripta mathematica(IF 0.392), 2017, Vol.154 (3-4), pp.503-512Springer
 Author：Ichiro Shimada , Tetsuji Shioda Data Source：[J].manuscripta mathematica(IF 0.392), 2017, Vol.153 (1-2), pp.279-297Springer Abstract：We give a defining equation of a complex smooth quartic surface containing 56 lines, and investigate its reductions to positive characteristics. This surface is isomorphic to the complex Fermat quartic surface, which contains only 48 lines. We give the isomorphism explicitly.
 Author：Richard P. Gonzales Data Source：[J].manuscripta mathematica(IF 0.392), 2017, Vol.153 (3-4), pp.623-644Springer Abstract：We establish a localization theorem of Borel–Atiyah-Segal type for the equivariant operational K -theory of Anderson and Payne (Doc Math 20:357–399, 2015 ). Inspired by the work of Chang–Skjelbred and Goresky–Kottwitz–MacPherson, we establish a general form of GKM ...
 Author：Youness Mazigh Data Source：[J].manuscripta mathematica(IF 0.392), 2017, Vol.153 (3-4), pp.403-430Springer Abstract：Let K be a totally real number field of degree $$r\,=\,[K:\mathbb {Q}]$$ and let p be an odd rational prime. Let $$K_{\infty }$$ denote the cyclotomic $$\mathbb {Z}_{p}$$ -extension of K and let $$L_{\infty }$$ be a finite extension of $$K_{\infty }$$ , abelian over K . In t...
 Author：Serena Dipierro , María Medina , Ireneo Peral ... Data Source：[J].manuscripta mathematica(IF 0.392), 2017, Vol.153 (1-2), pp.183-230Springer
 Author：Gabriele Bonanno , Roberto Livrea , Martin Schechter Data Source：[J].manuscripta mathematica(IF 0.392), 2017, Vol.154 (1-2), pp.59-77Springer Abstract：Variational methods are used in order to establish the existence and the multiplicity of nontrivial periodic solutions of a second order dynamical system. The main results are obtained when the potential satisfies different superquadratic conditions at infinity. The particular ca...
 Author：Mathieu Klimczak Data Source：[J].manuscripta mathematica(IF 0.392), 2017, Vol.153 (1-2), pp.231-262Springer Abstract：In this paper we assign, under reasonable hypothesis, to each pseudomanifold with isolated singularities a rational Poincaré duality space. These spaces are constructed with the formalism of intersection spaces defined by Markus Banagl and are indeed related to them in the e...

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