250029 VO Commutative Algebra and Algebraic Geometry (2023W)
Labels
ON-SITE
Registration/Deregistration
Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).
Details
Language: English
Examination dates
Tuesday
06.02.2024
09:45 - 11:15
Seminarraum 1 Oskar-Morgenstern-Platz 1 Erdgeschoß
Monday
08.04.2024
13:15 - 14:45
Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
Lecturers
Classes (iCal) - next class is marked with N
Thursday
05.10.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
11.10.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
12.10.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
19.10.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
25.10.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
08.11.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
09.11.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
16.11.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
22.11.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
23.11.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
30.11.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
06.12.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
07.12.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
10.01.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
11.01.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
18.01.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Wednesday
24.01.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
25.01.
16:45 - 18:15
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Information
Aims, contents and method of the course
This course will study the relationship between finitely generated commutative algebras over a field, in particular polynomial algebras, and affine varieties, defined by polynomial conditions in affine n-space. Topics to be covered include basic notions of commutative algebra: rings and their ideals, the Noetherian condition, the maximal and prime spectrum of an algebra, module theory, localisation, morphisms, the Nullstellensatz and Noether normalisation; as well as basic notions of algebraic geometry: affine varieties and their morphisms, the Zariski topology, non-singular and singular varieties and dimension theory.
Assessment and permitted materials
Minimum 50% achieved in the written examination.
Minimum requirements and assessment criteria
Written examination.
Examination topics
Topics covered in the lecture course.
Reading list
M. F. Atiyah, I. G. Macdonald: Introduction to commutative algebra. Addison-Wesley, 1969.
D. Cox, J. Little, D. O’Shea: Ideals, varieties and algorithms, Springer 1997.
D. Eisenbud, Commutative algebra with a view toward algebraic geometry, Springer 1995.
M. Reid, Undergraduate algebraic geometry, CUP 1985.
M. Reid, Undergraduate commutative algebra, CUP
D. Cox, J. Little, D. O’Shea: Ideals, varieties and algorithms, Springer 1997.
D. Eisenbud, Commutative algebra with a view toward algebraic geometry, Springer 1995.
M. Reid, Undergraduate algebraic geometry, CUP 1985.
M. Reid, Undergraduate commutative algebra, CUP
Association in the course directory
AGEO
Last modified: Fr 16.02.2024 12:46