Algebraic geometry II - schemes and sheaves

Summary

The aim of this course is to learn the basics of the modern scheme theoretic language of algebraic geometry.

Content

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Learning Prerequisites

Required courses

• Rings and modules
• Algebraic curves

 

Learning Outcomes

By the end of the course, the student must be able to:

• Use basic notions of scheme theoretic algebraic geometry.

Assessment methods

The final grade will be assigned based on the cumulative points of the student obtained from handed in homework solutions, from homework solutions presented at the exercise sessions and from the written exam. The weights of the two parts are:

30% - handed in homework solutions, and homework presented at the exercise sessions
70% - written exam

Students will have at most 10 homeworks to be handed in, and at most 4 exercises to present at the exercise sessions, throughout the semester.

Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu'il communique aux étudiants concernés.

Resources

Bibliography

Hartshorne: Algebraic geometry

Ressources en bibliothèque

• Algebraic geometry / Hartshorne

Moodle Link

• https://go.epfl.ch/MATH-510