Universität Wien

250010 VO Topics in Algebraic Geometry (2024W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Wednesday 02.10. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 07.10. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 09.10. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 14.10. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 16.10. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 21.10. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 23.10. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 28.10. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 30.10. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 04.11. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 06.11. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 11.11. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 13.11. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 18.11. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 20.11. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 25.11. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 27.11. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 02.12. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 04.12. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 09.12. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 11.12. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 16.12. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 08.01. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 13.01. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 15.01. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 20.01. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 22.01. 08:00 - 09:30 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 27.01. 08:00 - 09:30 Hörsaal 11 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 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 the examination.

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

Last modified: Tu 11.03.2025 13:46