期刊论文详细信息
Symmetry Integrability and Geometry-Methods and Applications | |
Jacobian Conjecture via Differential Galois Theory | |
article | |
Elżbieta Adamus1  Teresa Crespo2  Zbigniew Hajto3  | |
[1] Faculty of Applied Mathematics, AGH University of Science and Technology;Departament de Matemàtiques i Informàtica, Universitat de Barcelona;Faculty of Mathematics and Computer Science, Jagiellonian University | |
关键词: polynomial automorphisms; Jacobian problem; strongly normal extensions; | |
DOI : 10.3842/SIGMA.2019.034 | |
来源: National Academy of Science of Ukraine | |
【 摘 要 】
We prove that a polynomial map is invertible if and only if some associated differential ring homomorphism is bijective. To this end, we use a theorem of Crespo and Hajto linking the invertibility of polynomial maps with Picard-Vessiot extensions of partial differential fields, the theory of strongly normal extensions as presented by Kovacic and the characterization of Picard-Vessiot extensions in terms of tensor products given by Levelt.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO202106300000793ZK.pdf | 290KB | download |