MATHEMATICA SCANDINAVICA
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Published by Mathematica Scandinavicaen-USMATHEMATICA SCANDINAVICA0025-5521<p>Submission of manuscripts implies that the work described has not been published before (except in the form of an abstract or as part of a published lecture, review or thesis), that it is not under consideration for publication elsewhere and that, if and when the manuscript is accepted for publication, the authors agree to automatic transfer of the copyright to the publisher. Authors may submit manuscripts for publication to any member of the editorial committee.</p><p> </p>Presentations of rings with a chain of semidualizing modules
http://www.mscand.dk/article/view/96668
<p>Inspired by Jorgensen et al., it is proved that if a Cohen-Macaulay local ring $R$ with dualizing module admits a suitable chain of semidualizing $R$-modules of length $n$, then $R\cong Q/(I_1+\cdots +I_n)$ for some Gorenstein ring $Q$ and ideals $I_1,\dots , I_n$ of $Q$; and, for each $\Lambda \subseteq [n]$, the ring $Q/(\sum _{\ell \in \Lambda } I_\ell )$ has some interesting cohomological properties. This extends the result of Jorgensen et al., and also of Foxby and Reiten.</p>Ensiyeh AmanzadehMohammad T. Dibaei
Copyright (c) 2017 MATHEMATICA SCANDINAVICA
2017-10-222017-10-22121216118510.7146/math.scand.a-96668On vector bundles for a Morse decomposition of $L\mathbb{C}\mathrm{P}^n$
http://www.mscand.dk/article/view/96622
<p>We give a description of the negative bundles for the energy integral on the free loop space $L\mathbb{C}\mathrm{P}^n$ in terms of circle vector bundles over projective Stiefel manifolds. We compute the mod $p$ Chern classes of the associated homotopy orbit bundles.</p>Iver Ottosen
Copyright (c) 2017 MATHEMATICA SCANDINAVICA
2017-10-222017-10-22121218621810.7146/math.scand.a-96622Homology for one-dimensional solenoids
http://www.mscand.dk/article/view/26265
<p>Smale spaces are a particular class of hyperbolic topological dynamical systems, defined by David Ruelle. The definition was introduced to give an axiomatic description of the dynamical properties of Smale's Axiom A systems when restricted to a basic set. They include Anosov diffeomeorphisms, shifts of finite type and various solenoids constructed by R. F. Williams. The second author constructed a homology theory for Smale spaces which is based on (and extends) Krieger's dimension group invariant for shifts of finite type. In this paper, we compute this homology for the one-dimensional generalized solenoids of R. F. Williams.</p>Massoud AminiIan F. PutnamSarah Saeidi Gholikandi
Copyright (c) 2017 MATHEMATICA SCANDINAVICA
2017-10-222017-10-22121221924210.7146/math.scand.a-26265A weighted extremal function and equilibrium measure
http://www.mscand.dk/article/view/26266
<p>We find an explicit formula for the weighted extremal function of $\mathbb{R}^n\subset \mathbb{C}^n$ with weight $(1+x_1^2+\cdots +x_n^2)^{-1/2}$ as well as its Monge-Ampère measure. As a corollary, we compute the Alexander capacity of $\mathbb{RP}^n$.</p>Len BosNorman LevenbergSione Ma'uFederico Piazzon
Copyright (c) 2017 MATHEMATICA SCANDINAVICA
2017-10-222017-10-22121224326210.7146/math.scand.a-26266Positive solutions for parametric semilinear Robin problems with indefinite and unbounded potential
http://www.mscand.dk/article/view/96696
<p>We consider a parametric Robin problem driven by the Laplace operator plus an indefinite and unbounded potential. The reaction term is a Carathéodory function which exhibits superlinear growth near $+\infty $ without satisfying the Ambrosetti-Rabinowitz condition. We are looking for positive solutions and prove a bifurcation-type theorem describing the dependence of the set of positive solutions on the parameter. We also establish the existence of the minimal positive solution $u^*_{\lambda }$ and investigate the monotonicity and continuity properties of the map $\lambda \mapsto u^*_{\lambda }$.</p>Nikolaos S. PapageorgiouVicenţiu D. Rădulescu
Copyright (c) 2017 MATHEMATICA SCANDINAVICA
2017-10-222017-10-22121226329210.7146/math.scand.a-96696On the Borel mapping in the quasianalytic setting
http://www.mscand.dk/article/view/97101
<p>The Borel mapping takes germs at $0$ of smooth functions to the sequence of iterated partial derivatives at $0$. We prove that the Borel mapping restricted to the germs of any quasianalytic ultradifferentiable class strictly larger than the real analytic class is never onto the corresponding sequence space.</p>Armin RainerGerhard Schindl
Copyright (c) 2017 MATHEMATICA SCANDINAVICA
2017-10-222017-10-22121229331010.7146/math.scand.a-97101A note on Jacquet functors and ordinary parts
http://www.mscand.dk/article/view/26363
<p>In this note we relate Emerton's Jacquet functor $J_P$ to his ordinary parts functor $\operatorname{Ord} _P$, by computing the χ-eigenspaces $\operatorname{Ord} ^{\chi }_P$ for central characters χ. This fills a small gap in the literature. One consequence is a weak adjunction property for \textit {unitary} characters χ appearing in $J_P$, with potential applications to local-global compatibility in the $p$-adic Langlands program in the ordinary case.</p>Claus Sorensen
Copyright (c) 2017 MATHEMATICA SCANDINAVICA
2017-10-222017-10-22121231131910.7146/math.scand.a-26363Issue covers
http://www.mscand.dk/article/view/97171
Issue covers.Mathematica Scandinavica
Copyright (c) 2017 MATHEMATICA SCANDINAVICA
2017-10-222017-10-221212