On normal forms of complex points of small $\mathcal{C}^{2}$-perturbations of real $4$-manifolds embedded in a complex $3$-manifoldStarčič, Tadej (Avtor) CR manifoldsclosure graphscomplex pointsnormal formsperturbationssimultaneous reductionWe answer the question how arbitrarily small perturbations of a pair of one arbitrary and one symmetric $2\times 2$ matrix can change a normal form with respect to a certain linear group action. 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.20212023-07-05 12:23:17Članek v reviji147462UDK: 517.55:515.16ISSN pri članku: 1747-6933DOI: 10.1080/17476933.2020.1722112COBISS_ID: 46063107sl