http://www.mscand.dk/issue/feedMATHEMATICA SCANDINAVICA2017-10-22T10:05:04+02:00Andrew Swannmscand@math.au.dkOpen Journal Systemshttp://www.mscand.dk/article/view/96668Presentations of rings with a chain of semidualizing modules2017-10-22T10:05:03+02:00Ensiyeh Amanzadehen.amanzadeh@gmail.comMohammad T. Dibaeidibaeimt@ipm.ir<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>2017-10-22T10:05:03+02:00Copyright (c) 2017 MATHEMATICA SCANDINAVICAhttp://www.mscand.dk/article/view/96622On vector bundles for a Morse decomposition of $L\mathbb{C}\mathrm{P}^n$2017-10-22T10:05:03+02:00Iver Ottosenottosen@math.aau.dk<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>2017-10-22T10:05:03+02:00Copyright (c) 2017 MATHEMATICA SCANDINAVICAhttp://www.mscand.dk/article/view/26265Homology for one-dimensional solenoids2017-10-22T10:05:03+02:00Massoud Aminimamini@modares.ac.irIan F. Putnamifputnam@uvic.caSarah Saeidi Gholikandis.saeadi@modares.ac.ir<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>2017-10-22T10:05:03+02:00Copyright (c) 2017 MATHEMATICA SCANDINAVICAhttp://www.mscand.dk/article/view/26266A weighted extremal function and equilibrium measure2017-10-22T10:05:03+02:00Len Bosleonardpeter.bos@univr.itNorman Levenbergnlevenbe@indiana.eduSione Ma'us.mau@auckland.ac.nzFederico Piazzonfpiazzon@math.unipd.it<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>2017-10-22T10:05:03+02:00Copyright (c) 2017 MATHEMATICA SCANDINAVICAhttp://www.mscand.dk/article/view/96696Positive solutions for parametric semilinear Robin problems with indefinite and unbounded potential2017-10-22T10:05:04+02:00Nikolaos S. Papageorgiounpapg@math.ntua.grVicenţiu D. Rădulescuvicentiu.radulescu@math.cnrs.fr<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>2017-10-22T10:05:04+02:00Copyright (c) 2017 MATHEMATICA SCANDINAVICAhttp://www.mscand.dk/article/view/97101On the Borel mapping in the quasianalytic setting2017-10-22T10:05:04+02:00Armin Rainerarmin.rainer@univie.ac.atGerhard Schindlgerhard.schindl@unet.univie.ac.at<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>2017-10-22T10:05:04+02:00Copyright (c) 2017 MATHEMATICA SCANDINAVICAhttp://www.mscand.dk/article/view/26363A note on Jacquet functors and ordinary parts2017-10-22T10:05:04+02:00Claus Sorensencsorensen@ucsd.edu<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>2017-10-22T10:05:04+02:00Copyright (c) 2017 MATHEMATICA SCANDINAVICAhttp://www.mscand.dk/article/view/97171Issue covers2017-10-22T10:05:04+02:00Mathematica Scandinavicamscand@math.au.dkIssue covers.2017-10-22T10:05:04+02:00Copyright (c) 2017 MATHEMATICA SCANDINAVICA