| KOLÁŘ, Martin, Francine MEYLAN and Dmitri ZAITSEV. Chern-Moser operators and polynomial models in CR geometry. Advances in Mathematics. Elsevier, 2014, vol. 263, OCTOBER, p. 321-356. ISSN 0001-8708. Available from: https://dx.doi.org/10.1016/j.aim.2014.06.017. |
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@article{1232104,
author = {Kolář, Martin and Meylan, Francine and Zaitsev, Dmitri},
article_number = {OCTOBER},
doi = {http://dx.doi.org/10.1016/j.aim.2014.06.017},
keywords = {Levi degenerate hypersurfaces; Catlin multitype; Chern-Moser operator; Automorphism group; Finite jet determination},
language = {eng},
issn = {0001-8708},
journal = {Advances in Mathematics},
title = {Chern-Moser operators and polynomial models in CR geometry},
volume = {263},
year = {2014}
}
TY - JOUR
ID - 1232104
AU - Kolář, Martin - Meylan, Francine - Zaitsev, Dmitri
PY - 2014
TI - Chern-Moser operators and polynomial models in CR geometry
JF - Advances in Mathematics
VL - 263
IS - OCTOBER
SP - 321-356
EP - 321-356
PB - Elsevier
SN - 00018708
KW - Levi degenerate hypersurfaces
KW - Catlin multitype
KW - Chern-Moser operator
KW - Automorphism group
KW - Finite jet determination
N2 - We consider the fundamental invariant of a real hypersurface in C-N - its holomorphic symmetry group - and analyze its structure at a point of degenerate Levi form. Generalizing the Chern-Moser operator to hypersurfaces of finite multitype, we compute the Lie algebra of infinitesimal symmetries of the model and provide explicit description for each graded component. Compared with a hyperquadric, it may contain additional components consisting of nonlinear vector fields defined in terms of complex tangential variables. As a consequence, we obtain exact results on jet determination for hypersurfaces with such models. The results generalize directly the fundamental result of Chern and Moser from quadratic models to polynomials of higher degree. (C) 2014 Elsevier Inc. All rights reserved.
ER -
KOLÁŘ, Martin, Francine MEYLAN and Dmitri ZAITSEV. Chern-Moser operators and polynomial models in CR geometry. \textit{Advances in Mathematics}. Elsevier, 2014, vol.~263, OCTOBER, p.~321-356. ISSN~0001-8708. Available from: https://dx.doi.org/10.1016/j.aim.2014.06.017.
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