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 three quizzes held during exercise sessions, from homework solutions presented at the exercise sessions and from the final written exam. The weights of the three parts are:

 

10%- Exercise presentation,

30% - three quizzes,

60% - final written exam.

 

Students have 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

• Find the references at the Library

Moodle Link

• https://go.epfl.ch/MATH-510