| Title: | On structures of normal forms of complex points of small ${\mathcal C}^2$-perturbations of real $4$-manifolds embedded in a complex $3$-manifold |
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| Authors: | ID Starčič, Tadej (Author) |
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| Files: |  PDF - Presentation file, download (929,58 KB)
MD5: 9C59C6A8DB83987EB72B186896A6324E
 URL - Source URL, visit https://link.springer.com/article/10.1007/s13398-023-01545-0
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | We extend our previous result on the behaviour of the quadratic part of a complex points of a small ${\mathcal C}^2$-perturbation of a real $4$-manifold embedded in a complex $3$-manifold. We describe the change of the structure of the quadratic normal form of a complex point. It is an immediate consequence of a theorem clarifying how small perturbations can change the bundle of a pair of one arbitrary and one symmetric $2 \times 2$ matrix with respect to an action of a certain linear group. |
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| Keywords: | CR manifolds, closure graphs, complex points, normal forms, perturbations |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.04.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | 43 str. |
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| Numbering: | Vol. 118, iss. 2, [article no.] 48 |
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| PID: | 20.500.12556/DiRROS-18874  |
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| UDC: | 517.5 |
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| ISSN on article: | 1578-7303 |
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| DOI: | 10.1007/s13398-023-01545-0 |
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| COBISS.SI-ID: | 194449155 |
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| Note: |
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| Publication date in DiRROS: | 06.05.2024 |
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| Views: | 1119 |
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| Downloads: | 548 |
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