Introduction to Plane Algebraic Curves

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This class is the introductory lecture to the Algebraic Geometry specialization.

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You should have a basic knowledge of rings to the extent of the " Algebraic Structures Algebraic Structures " class. Knowledge of the " Introduction to Algebra Introduction to Algebra " class may be useful in that it will have given you more experience with these algebraic structures, but the group theory and more advanced field i.

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Galois theory that is the main subject of this class will not be used in our course on plane curves. In addition, there are relations to the " Introduction to Topology Introduction to Topology ", " Introduction to Complex Analysis Introduction to Complex Analysis ", and " Commutative Algebra Commutative Algebra " classes, but again none of the results from there will be assumed.

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Homework problems will be assigned every Friday, starting April They can be downloaded below and are due one week later i. Please put your solutions in Pablo's mailbox next to You can submit them in groups of up to 3 students. The notes for this class are now finished, you can download them below.

An introduction to algebraic curves

Compared to the lecture, I have occasionally changed the contents and the exposition a bit in places where I will probably teach the class differently next time. Of course, any added material in the notes will not be relevant for the oral exams. This is the first version of these notes, so there will probably still be errors in it. We use cookies to give you the best possible experience. By using our website you agree to our use of cookies.

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