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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Cordaro, Paulo D. [1] ; Jahnke, Max Reinhold [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Math & Stat, Sao Paulo, SP - Brazil
[2] Univ Fed Sao Carlos, Dept Math, Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF GEOMETRIC ANALYSIS; v. 31, n. 8, p. 8156-8172, AUG 2021.
Web of Science Citations: 1
Abstract

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)

FAPESP's process: 12/03168-7 - Geometric theory of PDE and several complex variables
Grantee:Jorge Guillermo Hounie
Support Opportunities: Research Projects - Thematic Grants