Nonlinearizable CR Automorphisms for Polynomial Models in C^N

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00134292" target="_blank" >RIV/00216224:14310/23:00134292 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1007/s12220-022-01144-2" target="_blank" >https://doi.org/10.1007/s12220-022-01144-2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s12220-022-01144-2" target="_blank" >10.1007/s12220-022-01144-2</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Nonlinearizable CR Automorphisms for Polynomial Models in C^N

Popis výsledku v původním jazyce

The Lie algebra of infinitesimal CR automorphisms is a fundamental local invariant of a CR manifold. Motivated by the Poincaré local equivalence problem, we analyze its positively graded components, containing nonlinearizable holomorphic vector fields. The results provide a complete description of invariant weighted homogeneous polynomial models in C^N, which admit symmetries of degree higher than two. For homogeneous polynomial models, symmetries with quadratic coefficients are also classified completely. As a consequence, this provides an optimal 1-jet determination result in the general case. Further we prove that such automorphisms arise from one common source, by pulling back via a holomorphic mapping a suitable symmetry of a hyperquadric in some (typically high dimensional) complex space.

Název v anglickém jazyce

Nonlinearizable CR Automorphisms for Polynomial Models in C^N

Popis výsledku anglicky

The Lie algebra of infinitesimal CR automorphisms is a fundamental local invariant of a CR manifold. Motivated by the Poincaré local equivalence problem, we analyze its positively graded components, containing nonlinearizable holomorphic vector fields. The results provide a complete description of invariant weighted homogeneous polynomial models in C^N, which admit symmetries of degree higher than two. For homogeneous polynomial models, symmetries with quadratic coefficients are also classified completely. As a consequence, this provides an optimal 1-jet determination result in the general case. Further we prove that such automorphisms arise from one common source, by pulling back via a holomorphic mapping a suitable symmetry of a hyperquadric in some (typically high dimensional) complex space.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA21-09220S" target="_blank" >GA21-09220S: Invarianty a symetrie Levi degenerovaných CR variet</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Geometric Analysis

ISSN

1050-6926

e-ISSN

1559-002X

Svazek periodika

33

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

25

Strana od-do

1-25

Kód UT WoS článku

000923588700003

EID výsledku v databázi Scopus

2-s2.0-85147112031