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This is a technical introduction to the paper "Extension of twisted Hodge metrics for Kahler morphisms" by the authors.

Algebraic Geometry · Mathematics 2008-09-19 Christophe Mourougane , Shigeharu Takayama

In this notice, we revisit the recent work [1] of Jung Yoog Kang and Tai Sup about special polynomials with exponential distribution in order to state some improvements and get new proofs for results therein.

Classical Analysis and ODEs · Mathematics 2019-05-09 Goubi Mouloud

We give a method for constructing (possible large) self--small modules via some special homomorphisms of rings, called here weak epimorphisms.

Rings and Algebras · Mathematics 2018-12-18 George Ciprian Modoi

This survey describes some recent work, by the authors and others, on the existence of algebraic fibrations of group extensions, as well as the finiteness properties of their algebraic fibers, in the realm of both abstract and pro-$p$…

Group Theory · Mathematics 2024-04-03 Dessislava H. Kochloukova , Stefano Vidussi

Computations in the cohomology of finite groups.

Algebraic Topology · Mathematics 2007-12-03 Ian J Leary

This paper extends classical results in the invariant theory of finite groups and finite group schemes to the actions of finite Hopf algebras on commutative rings.

Rings and Algebras · Mathematics 2007-05-23 S. Skryabin

We give a criterium of holomorphy for some type formal power series. This gives a stronger form of a Rothstein's type extension theorem for a particular ring of holomorphic functions.

Dynamical Systems · Mathematics 2007-05-23 Ricardo Perez-Marco

An overview of the recent developments in plurifine potential theory.

Complex Variables · Mathematics 2012-07-04 Jan Wiegerinck

We characterize the groups isomorphic to full automorphism groups of ordered abelian groups. The result will follow from classical theorems on ordered groups adding an argument from proofs used to realize rings as endomorphism rings of…

Logic · Mathematics 2007-05-23 Rüdiger Göbel , Saharon Shelah

We study generalised Taylor morphisms, functors which construct differential ring homomorphisms from ring homomorphisms in a uniform way, analogous to the Taylor expansion for smooth functions. We generalise the construction of the twisted…

Commutative Algebra · Mathematics 2026-04-29 Gabriel Ng

We give a geometric description of a certain class of epimorphisms between complex reflection groups. We classify these epimorphisms, which can be interpreted as ``morphisms'' between the diagrams symbolizing standard presentations by…

Group Theory · Mathematics 2007-05-23 David Bessis , Cedric Bonnafe , Raphael Rouquier

An algebraic deformation theory of coalgebra morphisms is constructed.

Quantum Algebra · Mathematics 2007-05-23 Donald Yau

Let $K$ denote a number field and a finite set $S$ of places of $K$ and $\phi:\PP^n\rightarrow\PP^n$ be rational morphism defined over $K$. The main result of this paper proves that there are only finitely many twists of $\phi$ defined over…

Number Theory · Mathematics 2013-08-30 Brian Stout

We characterize Gorenstein modules over those local rings that admit a finite contracting endomorphism.

Commutative Algebra · Mathematics 2007-10-01 Hamid Rahmati

We introduce (quantum) twist automorphisms for upper cluster algebras and cluster Poisson algebras with coefficients. Our constructions generalize the twist automorphisms for quantum unipotent cells. We study their existence and their…

Quantum Algebra · Mathematics 2023-12-27 Yoshiyuki Kimura , Fan Qin , Qiaoling Wei

This is a survey article on $F$-singularities and their applications.

Commutative Algebra · Mathematics 2015-04-01 Shunsuke Takagi , Kei-ichi Watanabe

Recent discoveries make it possible to compute the K-theory of certain rings from their cyclic homology and certain versions of their cdh-cohomology. We extend the work of G. Corti\~nas et al. who calculated the K-theory of, in addition to…

K-Theory and Homology · Mathematics 2013-11-21 David Wayne

We show that thick morphisms (or microformal morphisms) between smooth (super)manifolds, introduced by us before, are classical limits of `quantum thick morphisms' defined here as particular oscillatory integral operators on functions.

Mathematical Physics · Physics 2017-07-25 Theodore Voronov

We construct explicit Eichler-Shimura morphisms for families of overconvergent Siegel modular forms of genus two. These can be viewed as $p$-adic interpolations of the Eichler-Shimura decomposition of Faltings-Chai for classical Siegel…

Number Theory · Mathematics 2025-06-04 Hansheng Diao , Giovanni Rosso , Ju-Feng Wu

We consider several formalizations in the language of second-order arithmetic of "The formula $\phi$ is a theorem of $\omega$-logic", including some which have been studied in the literature and a new variant defined via a least fixed…

Logic · Mathematics 2022-03-23 David Fernández-Duque