Skip to main content
SpringerLink
Log in

Two-dimensional quotients of Cn are isomorphic to C2/Γ

  • Published:
Transformation Groups Aims and scope Submit manuscript

Abstract

We will prove that any two-dimensional quotient of an affine space modulo a reductive algebraic group is isomorphic to a quotient of C2 modulo a finite group. The proof uses some new results due to Koras and Russell on contractible surfaces with at most quotient singularities and also several results about reductive group actions on affine varieties.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India

    R.V. Gurjar

Authors
  1. R.V. Gurjar
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to R.V. Gurjar.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gurjar, R. Two-dimensional quotients of Cn are isomorphic to C2/Γ. Transformation Groups 12, 117–125 (2007). https://doi.org/10.1007/s00031-005-1129-y

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00031-005-1129-y

Keywords

Search

Navigation