KOLÁŘ, Martin, Francine MEYLAN a Dmitri ZAITSEV. Chern-Moser operators and polynomial models in CR geometry. Advances in Mathematics. Elsevier, 2014, roč. 263, OCTOBER, s. 321-356. ISSN 0001-8708. Dostupné z: 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 a Dmitri ZAITSEV. Chern-Moser operators and polynomial models in CR geometry. \textit{Advances in Mathematics}. Elsevier, 2014, roč.~263, OCTOBER, s.~321-356. ISSN~0001-8708. Dostupné z: https://dx.doi.org/10.1016/j.aim.2014.06.017.
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