Zobrazeno 1 - 10
of 271
pro vyhledávání: '"18G40"'
We give a new, short proof of the formula for the first potentially non-zero differential of the Hochschild--Serre spectral sequence for semiabelian varieties over non-closed fields. We show that this differential is non-zero for the Jacobian of a cu
Externí odkaz:
http://arxiv.org/abs/2411.15353
Autor:
Chirvasitu, Alexandru
Consider a proper action of $\mathbb{Z}^d$ on a smooth (perhaps non-paracompact) manifold $M$. The $p^{th}$ cohomology $H^p(\mathbb{Z}^d,\ \Gamma_{\mathrm{c}}(\mathcal{F}))$ valued in the space of compactly-supported sections of a natural sheaf $\mat
Externí odkaz:
http://arxiv.org/abs/2411.09857
Autor:
Yoon, Iris H. R.
The intent of this paper is to explore Dowker duality from a combinatorial, topological, and categorical perspective. The paper presents three short, new proofs of Dowker duality using various poset fiber lemmas. We introduce modifications of joins a
Externí odkaz:
http://arxiv.org/abs/2408.13136
The Kuranishi family of the Iwasawa manifold give rise naturally to a family of (deformed) double complexes. By using the structure theorem of double complexes due to Stelzig and Qi-Khovanov, we show there are exactly $3$ isomorphism types in this fa
Externí odkaz:
http://arxiv.org/abs/2407.02875
Autor:
Livernet, Muriel, Whitehouse, Sarah
We study homotopy theory of the category of spectral sequences with respect to the class of weak equivalences given by maps which are quasi-isomorphisms on a fixed page. We introduce the category of extended spectral sequences and show that this is b
Externí odkaz:
http://arxiv.org/abs/2406.02777
Autor:
Rüping, Henrik, Stephan, Marc
We provide an equivariant extension of Carlsson's BGG correspondence in characteristic two. As an application we classify perfect cochain complexes of $(\mathbb{Z}/2\times \mathbb{Z}/2)\rtimes Q$-representations with four-dimensional total homology f
Externí odkaz:
http://arxiv.org/abs/2404.10735
Let ${\rm N}_m(R) = \{ (a_{ij}) \in {\rm M}_m(R) \mid a_{11} = a_{22} = \cdots = a_{mm} \mbox{ and } a_{ij} = 0 \mbox{ for any } i > j \}$ for a commutative ring $R$. Then ${\rm N}_m(R)$ is a quadratic monomial algebra over $R$. We calculate ${\rm HH
Externí odkaz:
http://arxiv.org/abs/2403.20074
Autor:
Brotherston, James A.
The $S$-model category structures on filtered chain complexes and bicomplexes were introduced by Cirici, Egas Santander, Livernet and Whitehouse and later generalised by this author. In this paper we show they are left proper, cellular and stable mod
Externí odkaz:
http://arxiv.org/abs/2402.09893
Autor:
Brotherston, James A.
We establish monoidal model structures on model categories of filtered chain complexes constructed by Cirici, Egas Santander, Livernet and Whitehouse whose weak equivalences are the quasi-isomorphisms on the $r$-page of the associated spectral sequen
Externí odkaz:
http://arxiv.org/abs/2402.09207
Autor:
Yalcin, Ergun
In [F. Xu, On the cohomology rings of small categories, J. Pure Appl. Algebra 212 (2008), 2555-2569], Xu constructs a LHS-spectral sequence for target regular extensions of small categories. We extend this construction to ext-groups and construct a s
Externí odkaz:
http://arxiv.org/abs/2305.02000