Singularities and Geometry of Webs

• Grant number: 14/17812-0
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2015
• End date: January 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Serguei Agafonov
• Grantee: Serguei Agafonov
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• City of the host institution: São José do Rio Preto

Abstract

This project proposes study of geometry and singularities of flat singular webs, defined by1) ODEs pf the 1st order, cubic in derivative,2) Frobenius manifolds,3) characteristics on the solutions of integrable PDEs. (AU)

Scientific publications

(4)

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

AGAFONOV, SERGEY I.. Note on generic singularities of planar flat 3-webs. MANUSCRIPTA MATHEMATICA, v. 154, n. 1-2, p. 185-193, SEP 2017. (14/17812-0)

AGAFONOV, SERGEY I.. Gronwall's conjecture for 3-webs with two pencils of lines. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, v. 91, p. 17-pg., 2023-10-13. (17/02954-2, 14/17812-0)

AGAFONOV, S. I.; FERAPONTOV, E. V.; NOVIKOV, V. S.. Quasilinear systems with linearizable characteristic webs. Journal of Mathematical Physics, v. 58, n. 7, JUL 2017. (14/17812-0)

AGAFONOV, I, SERGEY. Gronwall's conjecture for 3-webs with infinitesimal symmetries. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, v. 28, n. 3, p. 519-545, 2020. (14/17812-0)