Fiches de cours

Caution, these contents corresponds to the coursebooks of last year


Positive characteristic algebraic geometry II

MATH-651

Lecturer(s) :

Patakfalvi Zsolt

Language:

English

Summary

This is the second semester of a course on the geometry of algebraic varieties defined over fields of positive characteristic.

Content

The goal of the course is to learn the most possible techniques in positive characteristic algebraic geometry geometry. Examples of such techniques are: techniques connected to Kodaira vanishing and non-vanishing, such as torsor- and semi-positivity-method, bend and break, Keel's lifting statement, Forbenius trace method, generic vanishing in positive characteristic. Students will learn as much of these techniques as possible during a semester.

This is the second semester of a course on the same topic. The required background is the first semester of the course, that is, the knowledge of the material of the course 'Positive characteristic algebraic geometry'.

Keywords

algebraic geometry, positive characteristic

Learning Prerequisites

Required courses

Algebraic geometry (masters course), Scheme theory (PhD course), Sheaf cohomology (PhD course)

Learning Outcomes

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

Resources

Bibliography

provided course notes

In the programs

    • Semester
    • Exam form
       Oral presentation
    • Credits
      3
    • Subject examined
      Positive characteristic algebraic geometry II
    • Number of places
      15
    • Lecture
      28 Hour(s)
    • Practical work
      28 Hour(s)

Reference week

 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German