250108 VO Algebraic Geometry (2025W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

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

Lecturers

Classes (iCal) - next class is marked with N

Friday 03.10. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 07.10. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
Friday 10.10. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 14.10. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
Friday 17.10. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 21.10. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
Friday 24.10. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 28.10. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
Friday 31.10. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 04.11. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
Friday 07.11. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 11.11. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
Friday 14.11. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 18.11. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
Friday 21.11. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 25.11. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
Friday 28.11. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 02.12. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
Friday 05.12. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 09.12. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
Friday 12.12. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 16.12. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
Friday 19.12. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Friday 09.01. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 13.01. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
Friday 16.01. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 20.01. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
Friday 23.01. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 27.01. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

This course will be a basic, foundational course on Algebraic Geometry, a classical subject in pure mathematics with connections to commutative algebra, number theory and various branches of geometry. In the first semester of the course, we aim to cover the basics of algebraic curves, affine and projective varieties of higher dimension, the Zariski topology, morphisms, local and global properties, and some classical examples.

Assessment and permitted materials

Written closed-book mid-term exam and examination at the end of the lecture course. There will be exercise sheets supported by exercise sessions to prepare for the examination questions.

Minimum requirements and assessment criteria

Passing grade (50) achieved as a combination of the mid-term exam (30%) and the final examination (70%).

Examination topics

Basic properties of algebraic curves, affine and projective varieties, the Zariski topology, morphisms, local and global properties, and classical examples as discussed in the lecture course.

Reading list

Michael Artin, Algebraic Geometry: Notes on a Course, AMS, or available in draft form from https://math.mit.edu/classes/18.721/notes/ag-jan26-2022.pdf
Joe Harris, Algebraic Geometry: A First Course, Springer GTM
Robin Hartshorne, Algebraic Geometry, Springer GTM
Andreas Gathmann, Class Notes on Algebraic Geometry, https://agag-gathmann.math.rptu.de/de/alggeom.php

Association in the course directory

MALV; MGEV; ML2; MEL

Last modified: Mo 23.03.2026 10:47