Fundamental Groups in Algebraic Geometry

• Grant number: 22/01885-5
• Support Opportunities: Scholarships in Brazil - Master
• Start date: April 01, 2022
• End date: March 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Tiago Jardim da Fonseca
• Grantee: Nelson Prata Pravato Serrano
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 20/15804-1 - Periods and algebraicity, AP.JP

Abstract

This project is devoted to an in-depth study of the étale fundamental group of an algebraic variety, and to some of its applications. In particular, we shall study the surprising Belyi theorem, which characterises algebraic curves defined over number fields as finite coverings of the complex projective line ramified at three points.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SERRANO, Nelson Prata Pravato. Fundamental groups in algebraic geometry. 2024. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.