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Algebraic Geometry 2 (AlgGeo2)
Provider: Faculty of Science

Activity no.: 5558-21-07-31 
Enrollment deadline: 06/09/2021
PlaceDepartment of Mathematical Sciences
Universitetsparken 5, 2100 København Ø
Date and time06.09.2021, at: 08:00 - 14.11.2021, at: 16:00
Regular seats60
ECTS credits7.50
Contact personNina Weisse    E-mail address: weisse@math.ku.dk
Enrolment Handling/Course OrganiserDustin Clausen    E-mail address: dustin.clausen@math.ku.dk
Written languageEnglish
Teaching languageEnglish
Semester/BlockBlock 1
Scheme groupC
Exam requirementsThe student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course
Exam formContinuous assessment
Exam detailsWeekly homework (each weighted equally, accounting for 70% of the grade) and a final in-class problem set (accounting for 30% of the grade).
Grading scale7 point grading scale. For PhD students: Passed / Not Passed
Exam re-examination30 minutes oral exam with preparation time. During the preparation time all aids are allowed. During the examination no aids are allowed
Course workload
Course workload categoryHours
Theory exercises27.00


This course is an introduction to scheme theory. We will cover affine schemes, gluing for general schemes, local and global properties of schemes, morphisms of schemes, cohomology of sheaves, cohomology of schemes, applications to curves.

Learning outcome
Knowledge: To display knowledge and understanding of the course topics and content at a level suitable for further studies in Algebraic Geometry.

Skills: At the end of the course the student is expected to be able to follow and reproduce arguments at a high abstract level corresponding to
the contents of the course.

Competences: At the end of the course the student is expected to be able to apply basic techniques and results to concrete examples.

Teaching and learning methods
4 hours lectures and 3 hours exercises per week for 9 weeks.

Academic qualifications:
It is recommended that the students have taken the courses Algebraic Geometry (AlgGeo) and Homological Algebra (HomAlg).

As an exchange, guest and credit student - please see: http://www.science.ku.dk/english/courses-and-programmes/

Continuing Education - please see: http://www.science.ku.dk/english/courses-and-programmes/continuing-education/bsc-msc-courses/

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