Holomorphic vector fields with real integral manifolds

J 2025

Holomorphic vector fields with real integral manifolds

KOLÁŘ, Martin; Ilja KOSSOVSKIJ a Bernhard LAMEL

Základní údaje

Originální název

Holomorphic vector fields with real integral manifolds

Autoři

KOLÁŘ, Martin; Ilja KOSSOVSKIJ a Bernhard LAMEL

Vydání

ADVANCES IN MATHEMATICS, SAN DIEGO, ACADEMIC PRESS INC ELSEVIER SCIENCE, 2025, 0001-8708

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 1.500 v roce 2024

Označené pro přenos do RIV

Ano

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

CR manifolds; Infinitesimal automorphisms; Holomorphic vector fields; Invariant manifolds

Štítky

14311010, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 16. 1. 2026 13:09, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

We classify singular holomorphic vector fields in C2 admitting a (Levi-nonflat) real-analytic invariant 3-fold through the singularity. In this way, we complete the classification of infinitesimal symmetries of real-analytic Levi-nonflat hypersurfaces in complex two-space. The classification of holomorphic vector fields obtained in the paper has very interesting overlaps with the recent Lombardi-Stolovitch classification theory for holomorphic vector fields at a singularity. In particular, we show that most of the resonances arising in Lombardi-Stolovitch theory do not occur under the presence of (Levi-nonflat) integral manifolds. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

Návaznosti

GC22-15012J, projekt VaV

Název: Hladká a analytická regularita v CR geometrii (Akronym: SARCG)

Investor: Grantová agentura ČR, Smooth and analytic regularity in CR geometry, Sao Paolo/FAPESP

Citovat

KOLÁŘ, Martin; Ilja KOSSOVSKIJ a Bernhard LAMEL. Holomorphic vector fields with real integral manifolds. ADVANCES IN MATHEMATICS. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2025, roč. 482, December, s. 1-33. ISSN 0001-8708. Dostupné z: https://doi.org/10.1016/j.aim.2025.110639.

@article{2547619,
   author = {Kolář, Martin and Kossovskij, Ilja and Lamel, Bernhard},
   article_location = {SAN DIEGO},
   article_number = {December},
   doi = {https://doi.org/10.1016/j.aim.2025.110639},
   keywords = {CR manifolds; Infinitesimal automorphisms; Holomorphic vector fields; Invariant manifolds},
   language = {eng},
   issn = {0001-8708},
   journal = {ADVANCES IN MATHEMATICS},
   title = {Holomorphic vector fields with real integral manifolds},
   url = {https://www.sciencedirect.com/science/article/pii/S0001870825005377},
   volume = {482},
   year = {2025}
}

TY  - JOUR
ID  - 2547619
AU  - Kolář, Martin - Kossovskij, Ilja - Lamel, Bernhard
PY  - 2025
TI  - Holomorphic vector fields with real integral manifolds
JF  - ADVANCES IN MATHEMATICS
VL  - 482
IS  - December
SP  - 1-33
EP  - 1-33
PB  - ACADEMIC PRESS INC ELSEVIER SCIENCE
SN  - 00018708
KW  - CR manifolds
KW  - Infinitesimal automorphisms
KW  - Holomorphic vector fields
KW  - Invariant manifolds
UR  - https://www.sciencedirect.com/science/article/pii/S0001870825005377
N2  - We classify singular holomorphic vector fields in C2 admitting a (Levi-nonflat) real-analytic invariant 3-fold through the singularity. In this way, we complete the classification of infinitesimal symmetries of real-analytic Levi-nonflat hypersurfaces in complex two-space. The classification of holomorphic vector fields obtained in the paper has very interesting overlaps with the recent Lombardi-Stolovitch classification theory for holomorphic vector fields at a singularity. In particular, we show that most of the resonances arising in Lombardi-Stolovitch theory do not occur under the presence of (Levi-nonflat) integral manifolds. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
ER  -

KOLÁŘ, Martin; Ilja KOSSOVSKIJ a Bernhard LAMEL. Holomorphic vector fields with real integral manifolds. \textit{ADVANCES IN MATHEMATICS}. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2025, roč.~482, December, s.~1-33. ISSN~0001-8708. Dostupné z: https://doi.org/10.1016/j.aim.2025.110639.

Přehled o publikaci