Algebraic Geometry

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Phone: 290 1490

Office Hours:

Schedule:

TUE: 13:40-15:30 B-108

THU: 15:40-16:30 B-108

Spare Hour: THU: 16:40-17:30 B-108

Main Textbook: Hartshorne, Algebraic Geometry

Supplementary textbook: Görtz and Wedhorn, Algebraic Geometry-I

Syllabus:

Since I intend to follow the pace of the students in the class I will not write a timetable for the syllabus.

Our goal is to understand the basic concepts of algebraic geometry as treated in the first chapter of Hartshorne's book such as affine and projective varieties, maps between these objects and in particular the blow-up map. We will examine algebraic invariants of our geometric objects such as the ring of all functions on them, globally or locally defined.

With these geometric intuition behind us we will embark into the next chapter in Hartshorne and start studying the modern language of algebraic geometry, namely sheaves and schemes. Here we may from time to time consult the supplementary textbook mentioned above.

For the record here is a tentative list of the topics we intend to cover:

Affine varieties: