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FSF3600 Algebraic Spaces 7.5 credits

Course offerings are missing for current or upcoming semesters.
Headings with content from the Course syllabus FSF3600 (Spring 2019–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

  • Algebraic spaces,
  • Etale topology,

  • Descent,

  • Group quotients,

  • Criteria for representability.

Intended learning outcomes

After the course, the student should have sufficient depth in the field to be able to read research articles in algebraic spaces.

Literature and preparations

Specific prerequisites

A Master degree including at least 30 university credits (hp) in in Mathematics.

 The student should have knowledge of algebraic geometry corresponding course FSF3605 Algebraic Geometry II.

Recommended prerequisites

No information inserted

Equipment

No information inserted

Literature

Donald Knutson, ''Algebraic Spaces", Lecture Notes in Mathematics 203, Springer.

Bosch, Lütkebohmert, Raynaud, "Néron Models", Ergebnisse 21, Springer.

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Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

G

Examination

  • SEM1 - Seminars, 7.5 credits, grading scale: P, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Oral presentations.

Other requirements for final grade

Accepted oral presentations.

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Examiner

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

Main field of study

This course does not belong to any Main field of study.

Education cycle

Third cycle

Add-on studies

No information inserted

Contact

David Rydh (dary@kth.se)

Postgraduate course

Postgraduate courses at SCI/Mathematics