Work

Local-global principle for over semiglobal fields

Year: 2024

Type: preprint

Abstract: We compare different local-global principles for torsors under a reductive group G defined over a semiglobal field F. In particular if the F-group G s a retract rational F-variety, we prove that the local global principle holds for the completions with respect to divisorial valuations of F.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2406.17355

Authors: Gille, Philippe, Parimala, Raman

Institutions: Institut Camille Jordan, IMAR - Institutul de Matematică „Simion Stoilow” al Academiei Române, Emory University

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4399991323

Cites:

Cited by:

Related to: 10