Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-41-14-K-7

Singularity Theory (4V, 9.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
4 V Lecture 9.0 CP 56 h 214 h
(4V) 9.0 CP 56 h 214 h

Basedata

SWS 4V
CP, Effort 9.0 CP = 270 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-AGCA] Algebra, Geometry and Computer Algebra
Additional informations
Livecycle-State [NORM] Active

Contents

  • power series, Theorems of Weierstrass,
  • analytic algebras,
  • elementary theory of coherent sheaves,
  • germ of a complex variety,
  • local compactness theorem for morphisms,
  • invariants of hyper surface singularities,
  • finite determinacy,
  • deformation theory of complete intersections,
  • classification of simple hypersurface singularities.

Literature

  • T. De Jong, G. Pfister: Local Analytic Geometry,
  • G.-M. Greuel, C. Lossen, E. Shustin: Introduction to Singularites and Deformations.

Materials

Further literature will be announced in the lecture.

References to Course [MAT-41-14-K-7]

Module Name Context
[MAT-41-14-M-7] Singularity Theory P: Obligatory 4V, 9.0 LP