Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-41-22-K-7

Plane Curve Singularities (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
+ further Lecturers of the department Mathematics
Area of study [MAT-AGCA] Algebra, Geometry and Computer Algebra
Additional informations
Livecycle-State [NORM] Active

Contents

  • parametrization of plane curves,
  • Puiseux series,
  • Newton polygons,
  • value semigroups,
  • characteristic exponents,
  • resolution of plane curve singularities.

Literature

  • T. De Jong, G. Pfister: Local Analytic Geometry,
  • O. Zariski: The Moduli Problem for Plane Branches, with an appendix by B. Teissier.

Materials

Further literature will be announced in the lecture.

References to Course [MAT-41-22-K-7]

Module Name Context
[MAT-41-22-M-7] Plane Curve Singularities P: Obligatory 2V, 4.5 LP