Kaliman, Shulim; Kutzschebauch, Frank; Truong, Tuyen Trung (2018). On subelliptic manifolds. Israel journal of mathematics, 228(1), pp. 229-247. Springer 10.1007/s11856-018-1760-7
|
Text
10.1007_s11856-018-1760-7.pdf - Published Version Available under License Publisher holds Copyright. Download (258kB) | Preview |
A smooth complex quasi-affine algebraic variety Y is flexible if its special group SAut(Y) of automorphisms (generated by the elements of one-dimensional unipotent subgroups of Aut(Y)) acts transitively on Y, and an algebraic variety is stably flexible if its product with some affine space is flexible. An irreducible algebraic variety X is locally stably flexible if it is a union of a finite number of Zariski open sets each of which is stably flexible. The main result of this paper states that the blowup of a locally stably flexible variety along a smooth algebraic subvariety (not necessarily equidimensional or connected) is subelliptic, and, therefore, it is an Oka manifold.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Kaliman, Shulim, Kutzschebauch, Werner Frank |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0021-2172 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
14 May 2019 15:54 |
Last Modified: |
05 Dec 2022 15:25 |
Publisher DOI: |
10.1007/s11856-018-1760-7 |
BORIS DOI: |
10.7892/boris.125524 |
URI: |
https://boris.unibe.ch/id/eprint/125524 |
Actions (login required)
 |
Edit item |