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Root number
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484057 |
Semester
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HS2023 |
Type of course
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Seminar |
Allocation to subject
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Mathematics |
Type of exam
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not defined |
Title |
Seminar: Complex Algebraic Curves |
Description |
We study the classic theory of algebraic curves over the complex numbers. After a gentle introduction, we discuss Bezout's theorem on the intersection number of algebraic curves, generalising a well-known fact about lines in the plane. We then move on to the degree-genus formula, and the famous theorem of Riemann-Roch. As we will see, there is a rich interplay of algebra, topology and geometry in this topic, which has been studied for at least 300 years.
The main reference for this seminar is the book "Complex Algebraic Curves" by Frances Kirwan. |
ILIAS-Link (Learning resource for course)
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Registrations are transmitted from CTS to ILIAS (no admission in ILIAS possible).
ILIAS
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Link to another web site
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Lecturers |
Prof. Dr.
Sebastian Baader, Institute of Mathematics ✉
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ECTS
|
3 |
Recognition as optional course possible
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Yes |
Grading
|
passed/failed |
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Dates |
Tuesday 15:15-17:00 Weekly
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Rooms |
Hörsaal B005, Exakte Wissenschaften, ExWi
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Students please consult the detailed view for complete information on dates, rooms and planned podcasts. |