Zobrazeno 1 - 10
of 622
pro vyhledávání: '"55P43"'
Autor:
Chough, Chang-Yeon
We give a characterization of morphisms in derived algebraic geometry in the more general context of morphisms in spectral algebraic geometry. Using this characterization, we prove two versions of Tannaka duality and the formal GAGA principle in the
Externí odkaz:
http://arxiv.org/abs/2412.13506
Autor:
Debray, Arun, Yu, Matthew
We look at a new string$^h$ tangential structure first introduced by Devalapurkar and relate it to the $W_7=0$ condition of Diaconescu-Moore-Witten for type IIA string theory and M-theory. We show that a string$^h$ structure on the target space autom
Externí odkaz:
http://arxiv.org/abs/2411.07299
Autor:
Meyer, Samuel, Wagner, Ferdinand
As a consequence of Efimov's proof of rigidity of the $\infty$-category of localising motives, Scholze and Efimov have constructed refinements of localising invariants such as $\operatorname{TC}^-$. In this article we compute the homotopy groups of t
Externí odkaz:
http://arxiv.org/abs/2410.23115
Autor:
Landesman, Aaron, Levy, Ishan
We compute the average number of surjections from class groups of quadratic function fields over $\mathbb F_q(t)$ onto finite odd order groups $H$, once $q$ is sufficiently large. These yield the first known moments of these class groups, as predicte
Externí odkaz:
http://arxiv.org/abs/2410.22210
We compute the MU-based syntomic cohomologies, mod $(p,v_1,\cdots,v_{n+1})$, of all $\mathbb{E}_1$-MU-algebra forms of connective Morava K-theory k(n). As qualitative consequences, we deduce the Lichtenbaum--Quillen conjecture, telescope conjecture,
Externí odkaz:
http://arxiv.org/abs/2410.07048
Autor:
Hyslop, Logan
Given a local $\otimes$-triangulated category, and a fiber sequence $y\to 1 \to x$, one may ask if there is always a nonzero object $z$ such that either $z\otimes f$ or $z\otimes g$ is $\otimes$-nilpotent. The claim that this property holds for all l
Externí odkaz:
http://arxiv.org/abs/2410.06320
Autor:
Kuhn, Nicholas J.
If Com is the reduced commutative operad, the category of Com-algebras in spectra is the category of nounital commutative ring spectra. The theme of this survey is that many important constructions on Com-algebras are given by taking the derived circ
Externí odkaz:
http://arxiv.org/abs/2410.05104
We provide a unifying framework for studying variants of topological Hochschild homology such as Real topological Hochschild homology. Associated to a crossed simplicial group $\Delta G$, a category that generalizes Connes' cyclic category, we introd
Externí odkaz:
http://arxiv.org/abs/2409.18187
Given a commutative algebra $\mathcal O$, a proper ideal $\mathcal I$, and a resolution of $\mathcal O/ \mathcal I$ by projective $\mathcal O $-modules, we construct an explicit Koszul-Tate resolution. We call it the arborescent Koszul-Tate resolutio
Externí odkaz:
http://arxiv.org/abs/2406.03955
Autor:
Yau, Donald
A central question in equivariant algebraic K-theory asks whether there exists an equivariant K-theory machine from genuine symmetric monoidal G-categories to orthogonal G-spectra that preserves equivariant algebraic structures. We answer this questi
Externí odkaz:
http://arxiv.org/abs/2404.02794