Results 41 to 50 of about 811 (133)
The asymptotic Mahler measure of Gaussian periods
Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen +2 more
wiley +1 more source
Prismatic F‐crystals and Wach modules
Abstract We show that the category of analytic/completed prismatic F-crystals$F\text{-crystals}$ on the absolute prismatic site of a small (unramified at p$p$) base ring is naturally equivalent to the category of relative Wach modules from the theory of (φ,Γ)-modules$(\varphi, \Gamma)\text{-modules}$.
Abhinandan
wiley +1 more source
U ovom diplomskom radu napravljen je koncpet komuntativnih prstenova i modula. Nakon definiranja osnovnih pojmova i teorema iz teorije prstenova, baziramo se na komutativne prstenove i module.
Gavran, David
core +2 more sources
The singularity category and duality for complete intersection groups
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley +1 more source
In the latter part of the 1950’s some interesting papers appeared (e.g. [2] and [10]) which examined the relationships occurring between the purely algebraic and homological aspects of the theory of finitely generated modules over Noetherian rings.
Kenneth P. McDowell
core +1 more source
Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley +1 more source
Commutative Noetherian local rings whose ideals are direct sums of cyclic modules
This paper is about to find which properties of the (sub-) category of \(R\)-modules reflect the structure of \(R\), where throughout \(R\) is a commutative ring with unit and any module is unital. For a recent work in the same direction see [\textit{R. Takahashi}, ``When is there a nontrivial extension-closed subcategory?'', J. Algebra 331, No. 1, 388-
Behboodi, M. +2 more
openaire +1 more source
Infinity‐operadic foundations for embedding calculus
Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley +1 more source
Commutative, noetherian rings over which every module has a maximal submodule [PDF]
PROOF. Let P be a proper prime ideal of R so S = R/P is an integral domain over which every nonzero module has a maximal submodule. Let sQ be a nonzero, injective S-module. Then sQ has a simple epimorphic image, say S/M where M is a maximal ideal of S.
openaire +2 more sources
Measuring birational derived splinters
Abstract This work is concerned with categorical methods for studying singularities. Our focus is on birational derived splinters, which is a notion that extends the definition of rational singularities beyond varieties over fields of characteristic zero. Particularly, we show that an invariant called ‘level’ in the associated derived category measures
Timothy De Deyn +3 more
wiley +1 more source

