Top-Degree Global Solvability in CR and Locally Integrable Hypocomplex Structures

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Autor(es):	Cordaro, Paulo D. ^[1] ; Jahnke, Max Reinhold ^[2] Número total de Autores: 2
Afiliação do(s) autor(es):	^[1] Univ Sao Paulo, Inst Math & Stat, Sao Paulo, SP - Brazil ^[2] Univ Fed Sao Carlos, Dept Math, Sao Carlos, SP - Brazil Número total de Afiliações: 2
Tipo de documento:	Artigo Científico
Fonte:	JOURNAL OF GEOMETRIC ANALYSIS; v. 31, n. 8, p. 8156-8172, AUG 2021.
Citações Web of Science:	1
Resumo
We study the top-degree cohomology for the (partial derivative) over bar (b) operator defined on a generic sub-manifold of the complex space as well as for the differential complex associated with a locally integrable structure V over a smooth manifold. The main assumptions are that V is hypocomplex and that the differential complex is locally solvable in degree one. One of the main tools is an adaptation of a sheaf theoretical argument due to Ramis-Ruget-Verdier. (AU)

Processo FAPESP:	12/03168-7 - Teoria geométrica de EDP e várias variáveis complexas
Beneficiário:	Jorge Guillermo Hounie
Modalidade de apoio:	Auxílio à Pesquisa - Temático