VVZ API is not affiliated with ETH Zurich. Data might be outdated or incorrect. Please view the official ETHZ Vorlesungsverzeichnis for binding information.

401-8141-00L 9 Credits BSC , MSC D-MATH

Algebraic Geometry (University of Zurich)

No enrolment to this course at ETH Zurich. Book the corresponding module directly at UZH. UZH Module Code: MAT507 Mind the enrolment deadlines at UZH: A related course is 401-3146-12L Algebraic Geometry. Although both courses can be taken independently of each other, only one will be recognised for credits in the Bachelor and Master degree. In particular, it is not allowed to earn credit points with one for the Bachelor and with the other for the Master degree.
VVZ CR n/a

Last Updated: 2026-06-01 11:31:23

Abstract

Introduction to the theory of schemes.

Content

Introduction to the theory of schemes. Algebraic geometry is a subject with its roots in the mathematics of ancient Greece. It was revolutionised and vastly generalised by Alexander Grothendieck and others in the sixties and seventies, and has since continued to produce applications to and links with virtually all areas of mathematics, such as number theory, cryptography, and computer vision. The course offers an introduction of the modern theory of algebraic geometry, centered around schemes, mostly following Vakil's book. Topics include schemes, morphisms of schemes, fiber products, Chevalley's theorem, dimension theory, and algebraic curves.

General Information

Language
English
Levels
BSC , MSC

Examination

Type
graded semester performance
Registration modalities, date and venue of this performance assessment are specified solely by the UZH.There is substantial overlap with the ETH course unit 401-3146-12L Algebraic Geometry, and therefore students who took or take the exam for 401-3146-12L must not claim credit for 401-8141-00L.

Course Components

Type Title Time & Place Hours
lecture Algebraic Geometry (University of Zurich) No time listed 4 h weekly
exercise Algebraic Geometry (University of Zurich) No time listed 2 h weekly

Offered In