|
|
International conference on algebraic geometry, complex analysis and computer algebra
August 7, 2016 12:00–13:00, Koryazhma, Arkhangelsk region, Nothern (Arctic) Federal University named after M. V. Lomonosov, Koryazhma Branch, Lenin's prospekt, d. 9
|
|
|
|
|
|
Triangulable subgroups of the Cremona groups
V. L. Popov Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
|
Number of views: |
This page: | 262 |
|
Abstract:
The talk is aimed to elaborate on the Bass' Triangulability Problem
about
unipotent algebraic subgroups of the affine Cremona groups.
The following topics are discussed: a triangulability criterion, the
existence of non-triangulable connected solvable affine algebraic
subgroups of the Cremona groups, and stable triangulability of such
subgroups; in particular, in the stable range the Bass' Triangulability
Problem is answered in the affirmative. These results are based on a
general theorem about invariant subfields of purely transcendental field
extensions of transcendental degree 1. A general construction of all
rationally triangulable subgroups of the Cremona groups is given, and,
as an application, all rationally triangulable connected one-dimensional
unipotent affine algebraic subgroups of the Cremona groups are
classified up to conjugacy.
|
|