On normal forms of complex points of small $\mathcal{C}^{2}$-perturbations of real $4$-manifolds embedded in a complex $3$-manifold
| العنوان: | On normal forms of complex points of small $\mathcal{C}^{2}$-perturbations of real $4$-manifolds embedded in a complex $3$-manifold |
|---|---|
| المؤلفون: | T. Starčič |
| المصدر: | Complex variables and elliptic equations, vol. 66, no. 3, pp. 376-436, 2021. |
| بيانات النشر: | arXiv, 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Pure mathematics, complex points, kompleksne točke, 01 natural sciences, perturbacije, Matrix (mathematics), perturbations, FOS: Mathematics, CR manifolds, hkratna redukcija, 0101 mathematics, Complex Variables (math.CV), Mathematics, Numerical Analysis, graf zaprtja, Group (mathematics), Mathematics - Complex Variables, Applied Mathematics, 010102 general mathematics, normalna forma, udc:517.55:515.16, Action (physics), simultaneous reduction, 010101 applied mathematics, Computational Mathematics, closure graphs, CR mnogoterost, normal forms, Mathematics::Differential Geometry, Analysis, 3-manifold |
| الوصف: | The purpose of this paper is to give a better understanding of complex points up to quadratic terms of real codimension $2$ submanifolds embedded in a complex $3$-manifold. We answer the question how a normal form of a pair of one arbitrary and one symmetric $2\times 2$ matrix with respect to a certain linear group action changes under arbitrarily small perturbations. This result is then applied to describe the quadratic part of normal forms of complex points of small $\mathcal{C}^{2}$-perturbations of real $4$-manifolds embedded in a complex $3$-manifold. |
| وصف الملف: | application/pdf; text/url |
| تدمد: | 1747-6933 |
| DOI: | 10.48550/arxiv.1901.01644 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::681a56c0b54d5af57842a83c2b57ac0f |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....681a56c0b54d5af57842a83c2b57ac0f |
| قاعدة البيانات: | OpenAIRE |
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