Geometric invariant theory for Ga⋊Gm$\mathbb {G}_a\rtimes \mathbb {G}_m$

Abstract We study geometric invariant theory for over characteristic zero. For a ‐action on a variety in suitable case, we provide an equivariant birational modification such that is a principal bundle. The situation covers quotients of unstable strata of any linear ‐action.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2025-04-08
DOI
https://doi.org/10.1112/blms.70065
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
0.00

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article

Geometric invariant theory for Ga⋊Gm$\mathbb {G}_a\rtimes \mathbb {G}_m$

Yikun Qiao
Bulletin of the London Mathematical Society
Advanced Algebra and Geometry
article

Geometric invariant theory for Ga⋊Gm$\mathbb {G}_a\rtimes \mathbb {G}_m$

Yikun Qiao
article en

Abstract

Abstract We study geometric invariant theory for over characteristic zero. For a ‐action on a variety in suitable case, we provide an equivariant birational modification such that is a principal bundle. The situation covers quotients of unstable strata of any linear ‐action.

Bulletin of the London Mathematical SocietyVol. 57(6)
Chinese Academy of Sciences (CN), Academy of Mathematics and Systems Science (CN)
National Key Research and Development Program of China
Openalex Percentile: Top 88%
Advanced Algebra and Geometry
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