Results 81 to 90 of about 21,877 (248)
Weakly special threefolds and nondensity of rational points
Abstract We verify part of a conjecture of Campana predicting that rational points on the weakly special nonspecial simply connected smooth projective threefolds constructed by Bogomolov–Tschinkel are not dense. To prove our result, we establish fundamental properties of moduli spaces of orbifold maps, and prove a dimension bound for such moduli spaces
Finn Bartsch +2 more
wiley +1 more source
Cofiniteness with respect to Extension of Serre Subcategories at Small Dimensions
Let A denote a commutative Noetherian ring, a be an ideal of A, X be an arbitrary dense subcategory of A-modules, and N be the full subcategory of finite A-modules.
Reza Sazeedeh
doaj +1 more source
Residually nilpotent groups of homological dimension 1
Abstract If p$p$ is a prime number, then any free group is residually a finite p$p$‐group and has homological dimension 1. As a partial converse of this assertion, in this paper we show that any finitely generated group of homological dimension 1, which is residually a finite p$p$‐group, is free.
Ioannis Emmanouil
wiley +1 more source
The relative Hodge–Tate spectral sequence for rigid analytic spaces
Abstract We construct a relative Hodge–Tate spectral sequence for any smooth proper morphism of rigid analytic spaces over a perfectoid field extension of Qp$\mathbb {Q}_p$. To this end, we generalise Scholze's strategy in the absolute case by using smoothoid adic spaces.
Ben Heuer
wiley +1 more source
Twists of twisted generalized Weyl algebras
Abstract We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence among multiparameter quantized Weyl algebras to the setting of TGWAs.
Jason Gaddis, Daniele Rosso
wiley +1 more source
Variation of Hilbert Coefficients [PDF]
For a Noetherian local ring $(\RR, \m)$, the first two Hilbert coefficients, $e_0$ and $e_1$, of the $I$-adic filtration of an $\m$-primary ideal $I$ are known to code for properties of $\RR$, of the blowup of $\spec(\RR)$ along $V(I)$, and even of their
Communicated Irena Peeva +5 more
core +1 more source
Rational normal curves in weighted projective space
Abstract This article aims to extend classical homological results about the rational normal curves to analogues in weighted projective spaces. Results include determinantality and nonstandard versions of quadratic generation and the Koszul property.
Caitlin M. Davis, Aleksandra Sobieska
wiley +1 more source
Constructing Big Indecomposable modules [PDF]
Let $R$ be local Noetherian ring of depth at least two. We prove that there are indecomposable $R$-modules which are free on the punctured spectrum of constant, arbitrarily large, rank.Comment: 8 pages, Minor ...
Crabbe, Andrew, Striuli, Janet
core +1 more source
Thin hyperbolic reflection groups
Abstract We study a family of Zariski dense finitely generated discrete subgroups of Isom(Hd)$\mathrm{Isom}(\mathbb {H}^d)$, d⩾2$d \geqslant 2$, defined by the following property: any group in this family contains at least one reflection in a hyperplane. As an application, we obtain a general description of all thin hyperbolic reflection groups.
Nikolay Bogachev, Alexander Kolpakov
wiley +1 more source
FINITENESS PROPERTIES OF FORMAL LOCAL HOMOLOGY MODULES [PDF]
Let (R, m) be a commutative Noetherian ring, a an ideal of R and M an Artinian R-module. In this paper, we investigate the structure of the formal local homology. We prove several results concerning finiteness properties of formal local homology module.
M. H. BIJAN-ZADEH,, S. GHADERI
doaj

