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250038 VO Algebraic Geometry (2018W)

5.00 ECTS (3.00 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

Herwig Hauser

Classes (iCal) - next class is marked with N

This three-hours class is blocked to four hours weekly from october to december.

Tuesday 02.10. 16:45 - 18:15 Hörsaal 3 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 03.10. 10:00 - 11:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 09.10. 16:45 - 18:15 Hörsaal 3 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 10.10. 10:00 - 11:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 16.10. 16:45 - 18:15 Hörsaal 3 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 17.10. 10:00 - 11:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 23.10. 16:45 - 18:15 Hörsaal 3 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 24.10. 10:00 - 11:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 30.10. 16:45 - 18:15 Hörsaal 3 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 31.10. 10:00 - 11:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 06.11. 16:45 - 18:15 Hörsaal 3 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 07.11. 10:00 - 11:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 13.11. 16:45 - 18:15 Hörsaal 3 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 14.11. 10:00 - 11:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 20.11. 16:45 - 18:15 Hörsaal 3 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 21.11. 10:00 - 11:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 27.11. 16:45 - 18:15 Hörsaal 3 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 28.11. 10:00 - 11:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 04.12. 16:45 - 18:15 Hörsaal 3 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 05.12. 10:00 - 11:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 11.12. 16:45 - 18:15 Hörsaal 3 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 12.12. 10:00 - 11:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 08.01. 16:45 - 18:15 Hörsaal 3 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 09.01. 10:00 - 11:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 15.01. 16:45 - 18:15 Hörsaal 3 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 16.01. 10:00 - 11:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 22.01. 16:45 - 18:15 Hörsaal 3 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 23.01. 10:00 - 11:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 29.01. 16:45 - 18:15 Hörsaal 3 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 30.01. 10:00 - 11:30 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

This the first class of a planned cycle of courses on algebraic geometry and commutative algebra. It gives an elementary though conceptual introduction to algebraic varieties and morphisms between them. It thus serves as preparation for abstract scheme theory to be treated in a later semester.

Topics to be covered: Solutions of polynomial equations, ideals of definition, coordinate rings, regular functions, morphisms, duality algebra - geometry, dimension theory, smooth and singular points, tangent spaces, irreducible components, parametrizations, fibers of morphisms, affine versus projective varieties, Noether normalization, Hilbert's Nullstellensatz, Krull's principal ideal theorem, ...

The class is complemented by a class on Commutative Algebra to be held by A. Mellit.

Assessment and permitted materials

written or oral exam at the end of the semester.

Minimum requirements and assessment criteria

Examination topics

Reading list

Association in the course directory

MALV, MGEV

Last modified: Sa 03.04.2021 00:21