Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-42-13-K-7

Geometry of Schemes (2V, 4.5 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
2 V Lecture 4.5 CP 28 h 107 h
(2V) 4.5 CP 28 h 107 h

Basedata

SWS 2V
CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Lecturers
Gathmann, Andreas, Prof. Dr. (PROF | DEPT: MAT)
Zintl, Jörg, PD Dr. (EXT | DEPT: MAT)
Area of study [MAT-AGCA] Algebra, Geometry and Computer Algebra
Additional informations
Livecycle-State [NORM] Active

Contents

  • theory of schemes (affine, projective and relative schemes),
  • structure sheaves and sheaves of modules,
  • flat families,
  • Grothendieck functor.

Literature

  • D. Eisenbud, J. Harris: The Geometry of Schemes,
  • H. Matsumura: Commutative Ring Theory,
  • R. Hartshorne: Algebraic Geometry.

Materials

Further literature will be announced in the lecture.

Requirements for attendance (informal)

Modules:

Courses

Requirements for attendance (formal)

None

References to Course [MAT-42-13-K-7]

Module Name Context
[MAT-42-13-M-7] Geometry of Schemes P: Obligatory 2V, 4.5 LP