Zobrazeno 1 - 10
of 90
pro vyhledávání: '"Valenzuela, Gabriel"'
We investigate when a commutative ring spectrum $R$ satisfies a homotopical version of local Gorenstein duality, extending the notion previously studied by Greenlees. In order to do this, we prove an ascent theorem for local Gorenstein duality along
Externí odkaz:
http://arxiv.org/abs/2001.02580
Publikováno v:
Algebr. Geom. Topol. 22 (2022) 1841-1903
Let $f:G\to \mathrm{Pic}(R)$ be a map of $E_\infty$-groups, where $\mathrm{Pic}(R)$ denotes the Picard space of an $E_\infty$-ring spectrum $R$. We determine the tensor $X\otimes_R Mf$ of the Thom $E_\infty$-$R$-algebra $Mf$ with a space $X$; when $X
Externí odkaz:
http://arxiv.org/abs/1911.04345
Let $X$ be a topological space with Noetherian mod $p$ cohomology and let $C^*(X;\mathbb{F}_p)$ be the commutative ring spectrum of $\mathbb{F}_p$-valued cochains on $X$. The goal of this paper is to exhibit conditions under which the category of mod
Externí odkaz:
http://arxiv.org/abs/1904.12841
The objective of this paper is to introduce and study completions and local homology of comodules over Hopf algebroids, extending previous work of Greenlees and May in the discrete case. In particular, we relate module-theoretic to comodule-theoretic
Externí odkaz:
http://arxiv.org/abs/1808.00895
We generalize Quillen's $F$-isomorphism theorem, Quillen's stratification theorem, the stable transfer, and the finite generation of cohomology rings from finite groups to homotopical groups. As a consequence, we show that the category of module spec
Externí odkaz:
http://arxiv.org/abs/1711.03491
We formulate a version of Hopkins' chromatic splitting conjecture for an arbitrary structured ring spectrum $R$, and prove it whenever $\pi_*R$ is Noetherian. As an application, these results provide a new local-to-global principle in the modular rep
Externí odkaz:
http://arxiv.org/abs/1608.03795
We use the abstract framework constructed in our earlier paper to study local duality for Noetherian $\mathbb{E}_{\infty}$-ring spectra. In particular, we compute the local cohomology of relative dualizing modules for finite morphisms of ring spectra
Externí odkaz:
http://arxiv.org/abs/1608.03135
Publikováno v:
In Journal of Pure and Applied Algebra February 2021 225(2)
The first goal of this paper is to provide an abstract framework in which to formulate and study local duality in various algebraic and topological contexts. For any stable $\infty$-category $\mathcal{C}$ together with a collection of compact objects
Externí odkaz:
http://arxiv.org/abs/1511.03526