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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.)

Fundamental Groups of Real Arrangements and Torsion in the Lower Central Series Quotients

Full text
Author(s):
Bartolo, Enrique Artal [1] ; Guerville-Balle, Benoit [2] ; Viu-Sos, Juan [2]
Total Authors: 3
Affiliation:
[1] Univers Zaragoza, Dept Matemat, IUMA, Zaragoza - Spain
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sancarlense 400 Ctr, BR-13566590 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: EXPERIMENTAL MATHEMATICS; v. 29, n. 1, p. 28-35, MAR 2 2020.
Web of Science Citations: 3
Abstract

By using computer assistance, we prove that the fundamental group of the complement of a real complexified line arrangement is not determined by its intersection lattice, providing a counter-example for a problem of Falk and Randell. We also deduce that the torsion of the lower central series quotients is not combinatorially determined, which gives a negative answer to a question of Suciu. (AU)

FAPESP's process: 17/15369-0 - Polar singularity of a flat curve germ
Grantee:Benoit Antoine Guerville
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 16/14580-7 - Applications of singularity theory: differential geometry and algebraic geometry
Grantee:Juan Viu Sos
Support Opportunities: Scholarships in Brazil - Post-Doctoral