CommAlgGeom

Introduction to commutative algebra and algebraic geometry

Because some international students expressed an interest, the class will be held in english. Of course, questions can be asked in German any time, and the teachers know German well, so this is not an obstruction for any German speaking student.

If you have questions about the class, please contact Alheydis Geiger or Hannah Markwig.

The class is an online class.

Please register at urm:

https://urm.math.uni-tuebingen.de

We will have (synchron) zoom-meetings Tue 12:30-14 and Wed 12:30-14. The zoom-links will be emailed via urm.

Notes for the class can be found here.

In the first class, we will dicuss details about the format of the online-class.

There will be weekly exercise classes, also via zoom. Details about the exercise classes will be discussed in the first zoom-meeting. You can hand in exercises via urm in groups up to three students. The exercise classes start in the second week of term.

There will be oral exams in the next term-free time. Please register for the oral exams via URM until Monday 22.02.2021.

Exercises

Attention: There was a mistake in the Solution to Presence Exercises to Sheet 5 in the solution to 1 c). An argument in the solutions to Presence Exercises to Sheet 10  has been corrected.

The corrected version can be found below.

Exercise Sheet 1

Solution 1

Exercise Sheet 2

Solution 2

Exercise Sheet 3

Solution 3

Exercise Sheet 4

Solution 4

Exercise Sheet 5

Solution 5

Exercise Sheet 6

Solution 6

Exercise Sheet 7

Solution 7

Exercise Sheet 8

Solution 8

Exercise Sheet 9

Solution 9

Exercise Sheet 10

Solution 10

Exercise Sheet 11

Solution 11

Exercise Sheet 12

Solution 12

Exercise Sheet 13

Solution 13

Presence Exercises

Presence Exercise to Sheet 4

Solution to Presence Exercise to Sheet 4

Presence Exercise to Sheet 5

Solution to Presence Exercise to Sheet 5

Presence Exercise to Sheet 6

Solution to Presence Exercise to Sheet 6

Presence Exercise to Sheet 7

Solution to Presence Exercise to Sheet 7

Presence Exercise to Sheet 8

Solution to Presence Exercise to Sheet 8

Presence Exercise to Sheet 9

Solution to Presence Exercise to Sheet 9

Presence Exercise to Sheet 10

Solution to Presence Exercise to Sheet 10

Presence Exercise to Sheet 11

Solution to Presence Exercise to Sheet 11

Presence Exercise to Sheet 12

Solution to Presence Exercise to Sheet 12

Presence Exercise to Sheet 13

Solution to Presence Exercise to Sheet 13

Further reading:

• Miles Reid, Undergraduate Algebraic Geometry
• Cox, Little, O'Shea, Ideals, Varieties and Algorithms
• Greuel, Pfister, A Singular introduction to commutative algebra
• Eisenbud, Commutative Algebra with a view towards algebraic geometry
• Hausen, Vorlesungsskript: Kommutative Algebra und Algebraische Geometrie, 2019