The Riemann-Roch theorem and the Serre duality

• Grant number: 21/00496-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2021
• End date: December 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Kostiantyn Iusenko
• Grantee: Gabriel Bassan dos Santos
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The aim of this project is to introduce the student to modern algebraic geometry machinery, culminating in the proof of the classic Riemann-Roch theorem by means of beam cohomology and Serre's duality.