Global boundedness of the jet determination order for holomorphic mappings between generic Nash submanifolds in complex space

Abstract In this paper, we establish global boundedness results for the jet determination order of CR maps between (not necessarily bounded) generic submanifolds in complex space. A key feature of our results is that they apply to Nash submanifolds, but do not extend to arbitrary real‐analytic submanifolds.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2025-12-19
DOI
https://doi.org/10.1112/blms.70250
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Global boundedness of the jet determination order for holomorphic mappings between generic Nash submanifolds in complex space

Nordine Mir
Bulletin of the London Mathematical Society
Holomorphic and Operator Theory
article

Global boundedness of the jet determination order for holomorphic mappings between generic Nash submanifolds in complex space

Nordine Mir
article en

Abstract

Abstract In this paper, we establish global boundedness results for the jet determination order of CR maps between (not necessarily bounded) generic submanifolds in complex space. A key feature of our results is that they apply to Nash submanifolds, but do not extend to arbitrary real‐analytic submanifolds.

Bulletin of the London Mathematical SocietyVol. 58(1)
Texas A&M University at Qatar (QA)
Openalex Percentile: Top 46%
Holomorphic and Operator Theory
DOIOpen Access PDFOpenAlex
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Global boundedness of the jet determination order for holomorphic mappings between generic Nash submanifolds in complex space — Nordine Mir · Bulletin of the London Mathematical Society (2025) | TGRS Research Map | TGRS