Universität Wien

250065 VO Topics in Algebraic Geometry 2 (2025S)

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

  • Monday 03.03. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 05.03. 08:00 - 09:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 10.03. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 17.03. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 19.03. 08:00 - 09:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 24.03. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 26.03. 08:00 - 09:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 31.03. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 02.04. 08:00 - 09:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 07.04. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 09.04. 08:00 - 09:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 28.04. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 30.04. 08:00 - 09:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 05.05. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 07.05. 08:00 - 09:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 12.05. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 14.05. 08:00 - 09:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 19.05. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 21.05. 08:00 - 09:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 26.05. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 28.05. 08:00 - 09:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 02.06. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 04.06. 08:00 - 09:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 11.06. 08:00 - 09:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 16.06. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 18.06. 08:00 - 09:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 23.06. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 25.06. 08:00 - 09:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

This course is a second course on Algebraic Geometry. We will recall properties of affine, projective and quasiprojective varieties, define abstract varieties via a gluing process, study coherent sheaves on algebraic varieties and their cohomology, and end with a discussion of the Riemann-Roch theorem.

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 abstract varieties and the Zariski topology, coherent sheaves, their cohomology, and Riemann-Roch type theorems as discussed in the lecture course and exercise sheets.

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

Robin Hartshorne, Algebraic Geometry, Springer GTM

Andreas Gathmann, Class Notes on Algebraic Geometry, https://agag-gathmann.math.rptu.de/class/alggeom-2021/alggeom-2021.pdf

Association in the course directory

MALV;MGEV

Last modified: Fr 30.05.2025 09:26