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Global geometry of singular holomorphic foliations and distributions

Grant number:15/20841-5
Support Opportunities:Research Grants - Visiting Researcher Grant - Brazil
Start date: March 01, 2016
End date: February 28, 2017
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Marcos Benevenuto Jardim
Grantee:Marcos Benevenuto Jardim
Visiting researcher:Maurício Barros Corrêa Júnior
Visiting researcher institution: Universidade Federal de Minas Gerais (UFMG). Instituto de Ciências Exatas , Brazil
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
City of the host institution:Campinas

Abstract

This project will have as main areas of study algebraic geometry, complex geometry and global theory of holomorphic foliations. Its main goals are: show results about the existence of residues and localization of characteristic classes for holomorphic Lie algebroids; a concise study of non-integrable distributions in complex projective spaces; a characterization of nilpotent and semistable co-Higgs bundleswith rank equal to the dimension of the manifold. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
CALVO-ANDRADE, OMEGAR; CORREA, MAURICIO; JARDIM, MARCOS. Codimension One Holomorphic Distributions on the Projective Three-space. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v. 2020, n. 23, p. 9011-9074, . (14/23594-6, 15/20841-5, 14/14743-8, 16/03759-6)
BROCHERO MARTINEZ, F. E.; CORREA, M.; RODRIGUEZ, A. M.. Poincar, problem for weighted projective foliations. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 48, n. 2, p. 219-235, . (15/20841-5)
BRASSELET, JEAN-PAUL; CORREA, MAURICIO; LOURENCO, FERNANDO. Residues for flags of holomorphic foliations. ADVANCES IN MATHEMATICS, v. 320, p. 1158-1184, . (15/20841-5, 15/06697-9)