Riemann-Roch Theorem, Frobenius Morphisms and the Riemann Hypothesis
| 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 |
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. | |
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