Results 281 to 290 of about 2,019,892 (322)

Proof of the Grothendieck–Serre conjecture on principal bundles over regular local rings containing a field

Izvestiya: Mathematics, 2020
Let be a regular local ring containing a field. Let be a reductive group scheme over . We prove that a principal -bundle over is trivial if it is trivial over the field of fractions of .
I. Panin
semanticscholar   +1 more source

ON GROTHENDIECK–SERRE CONJECTURE CONCERNING PRINCIPAL BUNDLES

International Congress of Mathematicans, 2019
Let R be a regular local ring. Let G be a reductive group scheme over R. A wellknown conjecture due to Grothendieck and Serre assertes that a principal G-bundle over R is trivial, if it is trivial over the fraction field of R. In other words, if K is the
I. Panin
semanticscholar   +1 more source

On the Grothendieck-Serre Conjecture about principal bundles and its generalizations

, 2018
Let $U$ be a regular connected semi-local scheme over a field $k$. Let $G$ be a reductive group scheme over $U$. Then a principal $G$-bundle over $U$ is trivial, if it is rationally trivial. We give a direct proof of this statement without reducing first
R. Fedorov
semanticscholar   +1 more source

Noncommutative Principal Bundles Through Twist Deformation

, 2016
We construct noncommutative principal bundles deforming principal bundles with a Drinfeld twist (2-cocycle). If the twist is associated with the structure group then we have a deformation of the fibers.
P. Aschieri, P. Bieliavsky, C. Pagani, Alexander Schenkel   +3 more
semanticscholar   +1 more source

Sub-Riemannian structures in a principal bundle and their Popp measures

, 2017
W. Bauer, Kenro Furutani, C. Iwasaki
semanticscholar   +1 more source

The Atiyah bundle and connections on a principal bundle

, 2010
I. Biswas
semanticscholar   +1 more source

Covariant and dynamical reduction for principal bundle field theories

, 2008
Marco Castrillón López, J. Marsden
semanticscholar   +1 more source

Invariant Connections in a Non-Abelian Principal Bundle

, 1994
V. Hussin, J. Negro, M. A. Delolmo
semanticscholar   +1 more source

Autophagy and autophagy-related pathways in cancer

Nature Reviews Molecular Cell Biology, 2023
, Kevin M Ryan
exaly  

A factorization of M4: Construction of the principal bundle of orthogonal frames over M4 from O(3,3) spinors

, 1980
P. Nash
semanticscholar   +1 more source