A BETTER COMPARISON OF - AND -COHOMOLOGIES
Sign Up to like & getrecommendations! Published in 2019 at "Nagoya Mathematical Journal"
DOI: 10.1017/nmj.2019.24
Abstract: In order to work with non-Nagata rings which are Nagata “up-to-completely-decomposed-universal-homeomorphism,” specifically finite rank Hensel valuation rings, we introduce the notions of pseudo-integral closure, pseudo-normalization, and pseudo-Hensel valuation ring. We use this notion to give… read more here.
Keywords: better comparison; operatorname; cdh; comparison cohomologies ... See more keywords
Vector Fields and Automorphism Groups of Danielewski Surfaces
Sign Up to like & getrecommendations! Published in 2020 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnaa189
Abstract: In this paper, we study the Lie algebra of vector fields ${\operatorname{Vec}}(\textrm{D}_p)$ of a smooth Danielewski surface $\textrm{D}_p$. We prove that the Lie subalgebra $\langle{\operatorname{LNV}}(\textrm{D}_p) \rangle$ of ${\operatorname{Vec}}(\textrm{D}_p)$ generated by locally nilpotent vector fields is… read more here.
Keywords: danielewski surfaces; textrm; automorphism; operatorname ... See more keywords
On weighted compactness of commutators of bilinear maximal Calderón–Zygmund singular integral operators
Sign Up to like & getrecommendations! Published in 2022 at "Forum Mathematicum"
DOI: 10.1515/forum-2020-0357
Abstract: Abstract Let T be a bilinear Calderón–Zygmund singular integral operator and let T*{T^{*}} be its corresponding truncated maximal operator. For any b∈BMO(ℝn){b\in\operatorname{BMO}({\mathbb{R}^{n}})} and b→=(b1,b2)∈BMO(ℝn)×BMO(ℝn){\vec{b}=(b_{1},b_{2})\in\operatorname{BMO}({\mathbb{R}^{n}})\times% \operatorname{BMO}({\mathbb{R}^{n}})}, let Tb,j*{T^{*}_{b,j}} (j=1,2{j=1,2}) and Tb→*{T^{*}_{\vec{b}}} be the commutators in the… read more here.
Keywords: operatorname; mathbb; bmo; vec ... See more keywords
Isomorphism questions for metric ultraproducts of finite quasisimple groups
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Group Theory"
DOI: 10.1515/jgth-2019-0165
Abstract: Abstract New results on metric ultraproducts of finite simple groups are established. We show that the isomorphism type of a simple metric ultraproduct of groups Xni(q){X_{n_{i}}(q)} (i∈I{i\in I}) for X∈{PGL,PSp,PGO(ε),PGU}{X\in\{\operatorname{PGL},\operatorname{PSp},\operatorname{PGO}^{(\varepsilon)% },\operatorname{PGU}\}} (ε=±{\varepsilon=\pm}) along an ultrafilter… read more here.
Keywords: metric ultraproduct; ultraproduct groups; operatorname; ultraproducts finite ... See more keywords