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401-8142-21L 9 Credits BSC , MSC D-MATH

Algebraic Geometry II (University of Zurich)

No enrolment to this course at ETH Zurich. Book the corresponding module directly at UZH. UZH Module Code: MAT517 Mind the enrolment deadlines at UZH:

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Last Updated: 2026-06-03 00:14:38

Abstract

We continue the development of scheme theory.Major topics: Sheaf cohomology (derived functor and Cech cohomology), flatness and base change, Theorem on Formal Functions, Hilbert polynomial, Serre duality, Riemann-Roch theorem for curves, smooth, étale, and unramified morphisms.

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.

Course Components

Type	Title	Time & Place	Hours
lecture	Algebraic Geometry II (University of Zurich)	Mon 10:15-12:00 Mon None-None Mon 15:00-17:00 Mon None-None	4 h weekly
exercise	Algebraic Geometry II (University of Zurich)	Mon 15:00-17:00 Mon None-None	1 h weekly

Offered In

Mathematics Bachelor
- Electives
  - Selection: Further Realms and Reading Courses
Mathematics Master
- Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 14 of the required 26 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
  - Electives: Pure Mathematics
    - Selection: Further Realms and Some UZH Courses