Journal für die reine und angewandte Mathematik (Crelles Journal)· 2026Q1
Springer isomorphisms over a general base scheme
- 2citations
- Q1SCImago
- 2026year
Short summary
This paper establishes the existence of Springer isomorphisms for reductive group schemes over general base schemes, a significant advancement for algebraic geometry and mathematical physics.
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Key points
- Establishes Springer isomorphisms for reductive group schemes over general base schemes.
- Studies centralizers of fiberwise regular sections and proves their flatness.
- Simplifies and clarifies aspects of Springer theory, including over fields.
- Hypotheses in the results are shown to be essentially optimal.
AI-generated from the title and abstract; the full text is not read.
Abstract
Abstract We establish the existence of Springer isomorphisms for reductive group schemes over general base schemes. For this, we first study centralizers of fiberwise regular sections of reductive group schemes, and we establish their flatness in many cases. The hypotheses in our results are essentially optimal. Our results clarify some aspects of Springer isomorphisms even over a field, and the arguments simplify considerably in this case.
The authors' abstract, as published at the source. Journal für die reine und angewandte Mathematik (Crelles Journal), 2026 · DOI ↗
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Field: Mathematical Physics
Mathematical PhysicsMathematics