ScholarLens Back to search
1989•Birkhäuser Basel eBooksRequires access

The Picard Group of a G-Variety

Friedrich Knop, Hanspeter Kraft, Thierry Vust

Open publisher page 132 citations

Abstract

Let G be a reductive algebraic group and X an algebraic G-variety which admits a quotient it: X → X//G. In this article we describe several results concerning the Picard group Pic(X//G) of the quotient and the group Picc(X) of G-line bundles on X. For some further development of the subject we refer to the survey articles [Kr89a], [Kr89b].

About this research paper

What this paper is about

Let G be a reductive algebraic group and X an algebraic G-variety which admits a quotient it: X → X//G. In this article we describe several results concerning the Picard group Pic(X//G) of the quotient and the group Picc(X) of G-line bundles on X. For some further development of the subject we refer to the survey articles [Kr89a], [Kr89b].

Why it matters

OpenAlex reports 132 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Let G be a reductive algebraic group and X an algebraic G-variety which admits a quotient it: X → X//G. In this article we describe several results concerning the Picard group Pic(X//G) of the quotient and the group Picc(X) of G-line bundles on X. For some further development of the subject we refer to the survey articles [Kr89a], [Kr89b].

Key concepts: Quotient, Algebraic group, Mathematics, Picard group, Variety (cybernetics), Group (periodic table), Reductive group, Pure mathematics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
The Picard Group of a G-Variety — Research Paper | ScholarLens