Commutative algebra and algebraic geometry

• Grant number: 17/12679-9
• Support type: Scholarships in Brazil - Scientific Initiation
• Effective date (Start): September 01, 2017
• Effective date (End): August 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal researcher: Iryna Kashuba
• Grantee: Manoel Zanoelo Jarra
• Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

It is a research project for the Cientific Iniciation program in Algebra. The project is aimed for the student of Bachelor of Mathematics aims as main topic introduction of concepts and elementary principles of Algebraic Geometry, extending the knowledge already obtained in Abstract and Linear Algebra courses, passing through vector spaces, matrix rings and polynomials to modules over commutative rings, affine and projective spaces, schemes, sheafs. (AU)