Commutative algebra and algebraic geometry

• Grant number: 17/12679-9
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2017
• End date: August 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Iryna Kashuba
• Grantee: Manoel Zanoelo Jarra
• Host 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)