On contact and finitely Levi-nondegenerate CR algebras

Fuente: arXiv
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Autori principali: Marini, Stefano, Medori, Costantino, Nacinovich, Mauro
Natura: Preprint
Pubblicazione: 2025
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author Marini, Stefano
Medori, Costantino
Nacinovich, Mauro
author_facet Marini, Stefano
Medori, Costantino
Nacinovich, Mauro
contents We study CR-manifolds of arbitrary CR codimension, mainly focusing on Levi and contact-nondegeneracy and depth. We investigate these and other invariants in the locally homogeneous case, developing a comprehensive theory which establishes correspondences with related properties of the associated CR-algebras and, in the parabolic case, with the combinatorics of their cross-marked painted root diagrams.
format Preprint
id arxiv_https___arxiv_org_abs_2512_11604
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On contact and finitely Levi-nondegenerate CR algebras
Marini, Stefano
Medori, Costantino
Nacinovich, Mauro
Differential Geometry
Primary: 32V35, 32V40, Secondary: 17B20, 17B22
We study CR-manifolds of arbitrary CR codimension, mainly focusing on Levi and contact-nondegeneracy and depth. We investigate these and other invariants in the locally homogeneous case, developing a comprehensive theory which establishes correspondences with related properties of the associated CR-algebras and, in the parabolic case, with the combinatorics of their cross-marked painted root diagrams.
title On contact and finitely Levi-nondegenerate CR algebras
topic Differential Geometry
Primary: 32V35, 32V40, Secondary: 17B20, 17B22
url https://arxiv.org/abs/2512.11604