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Lecture - Algebraic Geometry I (Winter term 21/22)
This course offers a first introduction to Algebraic Geometry. Using the modern language of schemes, we will build up the basic vocabulary necessary for any further studies in the directions of Algebra and Number Theory.
The lecture will be held in English.
I will offer written script accompanying the lecture. For some reason, this script is in German. However, there is no need for this material: Everything necessary for the weekly exercise sheets and exams will be delivered in the lecture as well.
You can find the webpage of this course in the "Kommentiertes Vorlesungsverzeichnis" here.
There is also a webpage of this course in the G.R.I.P.S.-System here but this will only be used for the mailinglist.
Therefore I strongly recommend to register there even though it is not official in any respect and any relevant information can be found on the webpage you are visiting right now.
Please see the sections below for anything concerning dates, exercises and exams.
Material
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Skript (in German) (pdf) (ps)
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Exercise sheet 01 (pdf)
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Exercise sheet 02 (pdf)
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Exercise sheet 03 (pdf)
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Exercise sheet 04 (pdf)
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Exercise sheet 05 (pdf)
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Exercise sheet 06 (pdf)
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Exercise sheet 07 (pdf)
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Exercise sheet 08 (pdf)
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Exercise sheet 09 (pdf)
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Exercise sheet 10 (pdf)
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Exercise sheet 11 (pdf)
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Exercise sheet 12 (pdf)
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Exercise sheet 13 (pdf) (bonus points)
Organizational matters regarding the lecture:
The lecture will take place twice a week. There is no official obligation to attend but it is of course highly recommended, if you want to take the exams (see below).
Until no further Corona-changes are made by the University, the lecture will be delivered in a hybrid format: You may attend either physically or virtually via zoom.
The lecture will not be recorded.
- Time:
Tuesdays 12:00-2:00 pm (c.t.)
Thursdays 12:00-2:00 pm (c.t.)
- Physical location:
M 101
- Virtual location:
Meeting ID: 659 6225 1838, link
- Further information
in EXA.
Organizational matters regarding the exercise session:
There will be two weekly exercise sessions accompanying the lecture.
One of them is held by Yassin Mousa, the other one by Sebastian Wolf.
The meetings will start in the second week: the first meeting of Yassins group is on Wednesday 27th, the first meeting of Sebastians group on Friday 29th.
Until no further Corona-changes are made by the University, these sessions will take place only physically.
There will be weekly exercise sheets (see above) provided each Wednesday.
These exercise sheets may be handed in in pairs of at most 2 students.
If you are interested in a "Studienleistung" (see below), these have to be handed in the subsequent Wednesday until 4 pm electronically (as a pdf-file) to yassin.mousa[at]mathematik.uni-regensburg.de or to sebastian1.wolf[at]mathematik.uni-regensburg.de
Yassins group:
- Time:
Wednesdays 12:00-2:00 pm (c.t.)
- Physical location:
M 101
- Further information
in EXA.
Sebastians group:
- Time:
Fridays 2:00-4:00 pm (c.t.)
- Physical location:
H 32
- Further information
in EXA.
Final exams (Prüfungsleistung/Studienleistung)
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There are two kinds of "exams" associated to this course: One is called "Studienleistung" and the other is called "Prüfungsleistung".
They are completely independend from each other.
In case you want to take either of them, please register by yourself in the FlexNow system.
This is probably not possible yet but will be possible in the second half of the term.
For any matters concerning the FlexNow system, please contact Birgit Tiefenbach (I do not have access to the FlexNow system).
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The "Prüfungsleistung" of this course consists is an oral exam of approximately 30 minutes at the end of the term.
This will usually take place physically and I will have to check the precise conditions for a virtual option via zoom.
We will make individual appointments for this near the end of the term.
As already said above, the "Studienleistung" is not needed for this exam.
You will get a grade for this oral exam, the "Prüfungsleistung".
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The "Studienleistung" of this course consists of a successful participation in the exercise classes which is defined as achieving at least 50% of the total number of points given for the exercise sheets.
Moreover, it is expected that you are ready to present your (successful) solution on the blackboard in the exercise class.
(In exceptional cases and due to the Corona situation, individual alternatives for the content of the last sentence may be found.)
You will not get a grade for the "Studienleistung".
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You have to check by yourself in the "Modulkatalog" relevant for your subject or the corresponding ECTS distribution system, what of the two "exams" you need for your studies.
Letzte Änderung: 09.02.2022 (die Abbildung auf der rechten Seite unterliegt der GFDL.)