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This article represents our attempt to improve the previous results on defining and understanding overconvergent Eichler-Shimura maps for overconvergent modular symbols (in the elliptic case).

Number Theory · Mathematics 2020-06-04 Fabrizio Andreatta , Adrian Iovita

In this thesis we develop the cohomology of diagrams of algebras and then apply this to the cases of the $\lambda$-rings and the $\Psi$-rings. A diagram of algebras is a functor from a small category to some category of algebras. For an…

K-Theory and Homology · Mathematics 2011-01-18 Michael Robinson

Let $A$ be an additively cancellative semialgebra over an additively cancellative semifield $K$ as defined in [9]. For a given partial action $\alpha$ of a group $G$ on an algebra, the associativity of partial skew group ring together with…

Rings and Algebras · Mathematics 2023-06-26 Thakur Meenakshi , R. P. Sharma

We survey recent developments concerning two properties of classes of finite structures: the Ramsey property and the extension property for partial automorphisms (EPPA).

Combinatorics · Mathematics 2020-10-13 Jan Hubička

Fix a prime number $p$. We report on some recent developments in algebraic geometry (broadly construed) over $p$-adically complete commutative rings. These developments include foundational advances within the subject as well as external…

Algebraic Geometry · Mathematics 2021-12-23 Bhargav Bhatt

Recently the first two authors constructed an L-infinity morphism using the S^1-equivariant version of the Poisson Sigma Model (PSM). Its role in deformation quantization was not entirely clear. We give here a "good" interpretation and show…

Rings and Algebras · Mathematics 2020-03-16 Alberto S. Cattaneo , Giovanni Felder , Thomas Willwacher

For a compact space X we consider extending endomorphisms of the algebra C(X) to be endomorphisms of Arens-Hoffman and Cole extensions of C(X). Given a non-linear, monic polynomial p in C(X)[t], with C(X)[t]/pC(X)[t] semi-simple, we show…

Functional Analysis · Mathematics 2007-05-23 J. F. Feinstein , T. J. Oliver

We show that a strongly $\lambda$-spirallike function of order $\alpha$ can be extended to a $\sin(\pi\alpha/2)$-quasiconformal automorphism of the complex plane for $-\pi/2<\lambda<\pi/2$ and $0<\alpha<1$ with $|\lambda|<\pi\alpha/2.$ In…

Complex Variables · Mathematics 2011-01-21 Toshiyuki Sugawa

Let $\pi: X \to Y$ be a morphism of projective varieties and suppose that $\alpha$ is a pseudo-effective numerical cycle class satisfying $\pi_*\alpha = 0$. A conjecture of Debarre, Jiang, and Voisin predicts that $\alpha$ is a limit of…

Algebraic Geometry · Mathematics 2017-05-17 Mihai Fulger , Brian Lehmann

Topological groupoids admit various types of morphisms. We push these notions to the level of continuous groupoid actions to obtain various types of groupoid action morphisms. Some dynamical properties and their relation to these morphisms…

Dynamical Systems · Mathematics 2021-05-04 F. Flores , M. Mantoiu

Some projective wonderful models for the complement of a toric arrangement in a n-dimensional algebraic torus T were constructed in [3]. In this paper we describe their integer cohomology rings by generators and relations.

Algebraic Topology · Mathematics 2019-02-13 Corrado De Concini , Giovanni Gaiffi

We show that a large class of formal groups can be realised functorially by even periodic ring spectra. The main advance is in the construction of morphisms, not of objects.

Algebraic Topology · Mathematics 2014-10-01 N. P. Strickland

We further develop the notion of perinormality from our last paper, showing that it is preserved by many pullback constructions. In doing so, we introduce the concepts of relative perinormality and fragility for ring extensions.

Commutative Algebra · Mathematics 2016-05-03 Neil Epstein , Jay Shapiro

For any ring we propose the construction of a cover which increases the finitistic dimension on one side and decreases the finitistic dimension to zero on the opposite side. This complements recent work of Cummings.

Representation Theory · Mathematics 2022-11-15 Henning Krause

An overview is given of the construction of a differential polynomial ring of functions on the moduli space of Calabi-Yau threefolds. These rings coincide with the rings of quasi modular forms for geometries with duality groups for which…

High Energy Physics - Theory · Physics 2014-01-23 Murad Alim

In this work, we obtain contraction results for a class of diagrams of ring morphisms which strictly includes the ones obtained by Lipman. Further, we present some applications on quotient and in the changing of the base ring in the…

Commutative Algebra · Mathematics 2024-09-05 Thiago da Silva , Maico Ribeiro

A class of extended umbral calculi in operator form is presented. Extensions of all basic theorems of classical Finite Operator Calculus are shown to hold. The impossibility of straightforward extending of quantum q-plane formulation of the…

Combinatorics · Mathematics 2015-06-26 A. K. Kwasniewski

In this paper we extend the almost complex Poisson structures from almost complex manifolds to almost complex Lie algebroids. Examples of such structures are also given and the almost complex Poisson morphisms of almost complex Lie…

Mathematical Physics · Physics 2014-09-16 Paul Popescu

We briefly explain how to implement the morphisms in our paper ``Natural representations of black box groups encrypting $SL_2(\mathbb{F})$" and provide some examples.

Group Theory · Mathematics 2025-10-17 Alexandre Borovik , Şükrü Yalçınkaya

We improve upper bounds of F. R. K. Chung and of M. Lu, D. Wan, L.-P. Wang, X.-D. Zhang on the diameter of some Cayley graphs constructed from polynomials over finite fields.

Number Theory · Mathematics 2014-02-17 Igor E. Shparlinski