Complete algebraic vector fields on affine surfaces

Kaliman, Shulim; Kutzschebauch, Frank; Leuenberger, Matthias (2020). Complete algebraic vector fields on affine surfaces. International journal of mathematics, 31(3), 50 pp. World Scientific 10.1142/S0129167X20500184

[img]
Preview
Text
1411.5484.pdf - Submitted Version
Available under License Publisher holds Copyright.

Download (554kB) | Preview

Let $AAut_{hol}(X)$ be the subgroup of the group $Aut_{hol}(X)$ of holomorphic automorphisms of a normal affine algebraic surface X generated by elements of flows associated with complete algebraic vector fields. Our main result is a classification of all normal affine algebraic surfaces X quasi-homogeneous under $AAut_{hol}(X)$ in terms of the dual graphs of the boundaries X̄ \X of their SNC-completions X̄ .

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Kutzschebauch, Frank

Subjects:

500 Science > 510 Mathematics

ISSN:

0129-167X

Publisher:

World Scientific

Funders:

[42] Schweizerischer Nationalfonds

Language:

English

Submitter:

Sebastiano Don

Date Deposited:

28 Jan 2021 18:54

Last Modified:

10 Mar 2021 01:36

Publisher DOI:

10.1142/S0129167X20500184

ArXiv ID:

1411.5484

Uncontrolled Keywords:

affine varieties, group actions, one parameter subgroups, transitivity

BORIS DOI:

10.48350/151230

URI:

https://boris.unibe.ch/id/eprint/151230

Actions (login required)

Edit item Edit item
Provide Feedback