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 Canadian Journal of Mathematics / Journal canadien de mathématiquesNumber of Followers: 0      Hybrid journal (It can contain Open Access articles) ISSN (Print) 0008414X - ISSN (Online) 14964279 Published by Cambridge University Press  [386 journals]
• CJM volume 72 Issue 1 Cover and Front matter
• Pages: 1 - 2
PubDate: 2020-01-02
DOI: 10.4153/S0008414X19000610

• CJM volume 72 Issue 1 Cover and Back matter
• Pages: 1 - 2
PubDate: 2020-01-02
DOI: 10.4153/S0008414X19000622

• Mixed Perverse Sheaves on Flag Varieties for Coxeter Groups
• Authors: Achar; Pramod N., Riche, Simon, Vay, Cristian
Pages: 1 - 55
Abstract: In this paper we construct an abelian category of mixed perverse sheaves attached to any realization of a Coxeter group, in terms of the associated Elias–Williamson diagrammatic category. This construction extends previous work of the first two authors, where we worked with parity complexes instead of diagrams, and we extend most of the properties known in this case to the general setting. As an application we prove that the split Grothendieck group of the Elias–Williamson diagrammatic category is isomorphic to the corresponding Hecke algebra, for any choice of realization.
PubDate: 2019-01-09
DOI: 10.4153/CJM-2018-034-0

• Ramification of the Eigencurve at Classical RM Points
Pages: 57 - 88
Abstract: J. Bellaïche and M. Dimitrov showed that the -adic eigencurve is smooth but not étale over the weight space at -regular theta series attached to a character of a real quadratic field in which splits. In this paper we prove the existence of an isomorphism between the subring fixed by the Atkin–Lehner involution of the completed local ring of the eigencurve at these points and a universal ring representing a pseudo-deformation problem. Additionally, we give a precise criterion for which the ramification index is exactly 2. We finish this paper by proving the smoothness of the nearly ordinary and ordinary Hecke algebras for Hilbert modular forms over at the overconvergent cuspidal Eisenstein points, being the base change lift for of these theta series. Our approach uses deformations and pseudo-deformations of reducible Galois representations.
PubDate: 2019-03-07
DOI: 10.4153/CJM-2018-029-4

• Bakry–Émery Curvature Functions on Graphs
• Authors: Cushing; David, Liu, Shiping, Peyerimhoff, Norbert
Pages: 89 - 143
Abstract: We study local properties of the Bakry–Émery curvature function at a vertex of a graph systematically. Here is defined as the optimal curvature lower bound in the Bakry–Émery curvature-dimension inequality that satisfies. We provide upper and lower bounds for the curvature functions, introduce fundamental concepts like curvature sharpness and -out regularity, and relate the curvature functions of with various spectral properties of (weighted) graphs constructed from local structures of . We prove that the curvature functions of the Cartesian product of two graphs are equal to an abstract product of curvature functions of . We explore the curvature functions of Cayley graphs and many par...
PubDate: 2019-01-07
DOI: 10.4153/CJM-2018-015-4

• Authors: Fahrner; Anne, Hausen, Jürgen
Pages: 145 - 181
Abstract: An intrinsic quadric is a normal projective variety with a Cox ring defined by a single quadratic relation. We provide explicit descriptions of these varieties in the smooth case for small Picard numbers. As applications, we figure out in this setting the Fano examples and (affirmatively) test Fujita’s freeness conjecture.
PubDate: 2019-01-09
DOI: 10.4153/CJM-2018-037-5

• Eisenstein Series Arising from Jordan Algebras
• Authors: Hanzer; Marcela, Savin, Gordan
Pages: 183 - 201
Abstract: We describe poles and the corresponding residual automorphic representations of Eisenstein series attached to maximal parabolic subgroups whose unipotent radicals admit Jordan algebra structure.
PubDate: 2019-01-09
DOI: 10.4153/CJM-2018-033-2

• Growth of Homology of Centre-by-metabelian Pro- $p$ Groups
• Authors: Kochloukova; Dessislava H., Pinto, Aline G. S.
Pages: 203 - 224
Abstract: For a centre-by-metabelian pro- group of type , for some , we show that rk , for all , where is the set of all subgroups of -power index in and, for a finitely generated abelian pro- group , rk .
PubDate: 2019-01-09
DOI: 10.4153/CJM-2018-032-4

• On Special Fiber Rings of Modules
• Authors: Miranda-Neto; Cleto B.
Pages: 225 - 242
Abstract: We prove results concerning the multiplicity as well as the Cohen–Macaulay and Gorenstein properties of the special fiber ring of a finitely generated -module over a Noetherian local ring with infinite residue field. Assuming that is Cohen–Macaulay of dimension 1 and that has finite colength in , our main result establishes an asymptotic length formula for the multiplicity of , which, in addition to being of independent interest, allows us to derive a Cohen–Macaulayness criterion and to detect a curious relation to the Buchsbaum–Rim multiplicity of in this setting. Further, we provide a Gorensteinness characterization for in the more general situation where is Cohen–Macaulay of arbitrary dimension and
PubDate: 2019-01-09
DOI: 10.4153/CJM-2018-031-6

• Comparison Geometry of Manifolds with Boundary under a Lower Weighted
Ricci Curvature Bound
• Authors: Sakurai; Yohei
Pages: 243 - 280
Abstract: We study Riemannian manifolds with boundary under a lower weighted Ricci curvature bound. We consider a curvature condition in which the weighted Ricci curvature is bounded from below by the density function. Under the curvature condition and a suitable condition for the weighted mean curvature for the boundary, we obtain various comparison geometric results.
PubDate: 2018-10-24
DOI: 10.4153/S0008414X1800007X

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