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401-3140-73L 4 Credits BSC , MSC D-MATH
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Toric Geometry

Lecturers & Examiners: Dr. Samouil Molcho
Number of participants limited to 16.
VVZ CR n/a

Last Updated: 2026-02-05 16:14:48

Abstract

We will introduce toric varieties, study their combinatorial and abstract structure, and their basic geometry: singularities, Picard groups and cohomology. We will then branch out to more specialized topics depending on participants' interests and as time permits: logarithmic structures, semistable reduction, GIT, intersection cohomology, or equivariant cohomology are possible topics.

Objective

The objectives are: (1) the students should get a good grasp of the foundations of toric geometry (2) develop their skills in reading modern mathematics (3) develop their presentation skills. For each session, reading will be assigned, and a session leader. The session leader will then be responsible for leading the discussion of the assigned reading. Assessment will be based on participation in the discussion with particular weight for each student on the session they lead.

Resources

Literature

Fulton: Introduction to Toric Varieties Supplement: Cox, Little, Schenck: Toric Varieties Reading for specialized topics will be assigned once we get there.

Learning Materials (Links)

General Information

Language
English
Levels
BSC , MSC

Examination

Type
ungraded semester performance

Registration & Places

Limited places (Special selection)
Signup Start
31.07.2023
Signup End
10.09.2023
Priority: Registration for the course unit is only possible for the primary target group

Course Components

Type Title Time & Place Hours
seminar Toric Geometry
  • Tue 12:15-14:00 (HG G 26.1)
2 h weekly

Offered In

  • Mathematics Bachelor
    • Seminars (NOTICE: The number of seminar places is limited, and the special selection procedure should help to allocate the places not primarily according to the registration time. Everybody is waitlisted first when he/she tries to register for a seminar in myStudies. Moreover: Only one mathematics seminar can be chosen per semester. Notice also the course unit 401-0002-99L Generic Seminar - Second Priority / Third Priority.)
  • Mathematics Master
    • Seminars and Semester Papers
      • Seminars (NOTICE: The number of seminar places is limited, and the special selection procedure should help to allocate the places not primarily according to the registration time. Everybody is waitlisted first when he/she tries to register for a seminar in myStudies. Moreover: Only one mathematics seminar can be chosen per semester. In case you need to attend 2 seminars in this semester, please take contact with the Study Administration (email: ). Notice also the course unit 401-0002-99L Generic Seminar - Second Priority / Third Priority.)