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@article{1843777,
author = {Kim, ShinandYoung and Kolář, Martin},
article_location = {Heidelberg},
article_number = {3},
doi = {http://dx.doi.org/10.1007/s00209-021-02873-w},
keywords = {FINITE JET DETERMINATION; CR AUTOMORPHISMS; REAL HYPERSURFACES; NEUMANN PROBLEM; NORMAL FORMS},
language = {eng},
issn = {0025-5874},
journal = {Mathematische Zeitschrift},
title = {Infinitesimal symmetries of weakly pseudoconvex manifolds},
url = {https://link.springer.com/article/10.1007/s00209-021-02873-w},
volume = {300},
year = {2022}
}
TY - JOUR
ID - 1843777
AU - Kim, Shin-Young - Kolář, Martin
PY - 2022
TI - Infinitesimal symmetries of weakly pseudoconvex manifolds
JF - Mathematische Zeitschrift
VL - 300
IS - 3
SP - 2451-2466
EP - 2451-2466
PB - Springer Heidelberg
SN - 00255874
KW - FINITE JET DETERMINATION
KW - CR AUTOMORPHISMS
KW - REAL HYPERSURFACES
KW - NEUMANN PROBLEM
KW - NORMAL FORMS
UR - https://link.springer.com/article/10.1007/s00209-021-02873-w
N2 - We consider weakly pseudoconvex hypersurfaces with polynomial models in C-N and their symmetry algebras. In themost prominent case of special models, given by sums of squares of polynomials, we give their complete classification. In particular, we prove that such manifolds do not admit any nonlinear symmetries, depending only on complex tangential variables, nor do they admit real or nilpotent linear symmetries. This leads to a sharp 2-jet determination result for local automorphisms. We also give partial results in the general case and a more detailed description of the graded components in complex dimension three. The results also provide an important necessary step for solving the local equivalence problem on such manifolds.
ER -
KIM, Shin-Young a Martin KOLÁŘ. Infinitesimal symmetries of weakly pseudoconvex manifolds. \textit{Mathematische Zeitschrift}. Heidelberg: Springer Heidelberg, 2022, roč.~300, č.~3, s.~2451-2466. ISSN~0025-5874. Dostupné z: https://dx.doi.org/10.1007/s00209-021-02873-w.
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