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The Riemann-Roch theorem and the Serre duality

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


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.

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