Universität Wien FIND

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250041 VO Basic Algebraic Geometry (2020W)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Registration/Deregistration

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Due to COVID restrictions, only 12 students are allowed in the room. We will try to make sure that all material of the course is available online, and so personal attendance is not mandatory.

Friday 02.10. 09:45 - 12:00 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 09.10. 09:45 - 12:00 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 16.10. 09:45 - 12:00 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 23.10. 09:45 - 12:00 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 30.10. 09:45 - 12:00 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 06.11. 09:45 - 12:00 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 13.11. 09:45 - 12:00 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 20.11. 09:45 - 12:00 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 27.11. 09:45 - 12:00 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 04.12. 09:45 - 12:00 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 11.12. 09:45 - 12:00 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 18.12. 09:45 - 12:00 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 08.01. 09:45 - 12:00 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 15.01. 09:45 - 12:00 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 22.01. 09:45 - 12:00 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 29.01. 09:45 - 12:00 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The course is an introduction to basic commutative algebra and algebraic geometry. Algebraic geometry is a very large subject, so in this course we will mostly focus on its language, which can then serve as a basis for deeper studies.
Algebraic geometry is a powerful approach to geometry based on the idea to represent spaces by algebraic equations. Various geometric concepts are interpreted in commutative algebra. So the subjects of commutative algebra and algebraic geometry will go in parallel. We will introduce the necessary concepts from commutative algebra such as commutative rings, ideals, prime ideals, and their geometric interpretation. We will consider algebraic geometric notions of smoothness and dimension. We will consider affine and projective varieties. Many examples will be illustrated with the help of computer calculations.

Assessment and permitted materials

Written exam or oral exams by appointment

Minimum requirements and assessment criteria

Examination topics

Reading list

Eisenbud "Commutative algebra with a view toward algebraic geometry"
Mumford "The red book of varieties and schemes"
Harris "Algebraic geometry. A first course"
Hartschorne "Algebraic geometry" (Chapter 1)
Mumford "Abelian varieties"

Association in the course directory

MALV

Last modified: Mo 12.04.2021 15:49