HOLOMORPHIC FACTORIZATION OF MAPPINGS INTO Sp4(C)
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2023
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en
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45
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Analysis and PDE, Volume 16, issue 1, pp. 233-277
Abstract
We prove that any null-homotopic holomorphic map from a Stein space X to the symplectic group Sp4(C) can be written as a finite product of elementary symplectic matrices with holomorphic entries.Description
Funding Information: Part of this research was done while the authors were visitors at The Centre for Advanced Study (CAS) at the Norwegian Academy of Science and Letters. Ivarsson was also supported by the Magnus Ehrnrooth Foundation and Løw by Bergens Forskningsstiftelse (BFS). The research of Kutzschebauch was partially supported by Schweizerische Nationalfonds Grant 200021-178730. MSC2020: primary 32Q56; secondary 19B14. Keywords: Oka principle, Stein spaces, symplectic matrices, unipotent factorization, elementary symplectic matrices, rings of holomorphic functions, algebraic K-theory. Publisher Copyright: © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). Open Access made possible by subscribing institutions via Subscribe to Open.
Keywords
algebraic K-theory, elementary symplectic matrices, Oka principle, rings of holomorphic functions, Stein spaces, symplectic matrices, unipotent factorization
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Citation
Ivarsson, B, Kutzschebauch, F & Løw, E 2023, ' HOLOMORPHIC FACTORIZATION OF MAPPINGS INTO Sp 4 (C) ', Analysis and PDE, vol. 16, no. 1, pp. 233-277 . https://doi.org/10.2140/apde.2023.16.233