Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-42-22-K-7

Complex Manifolds and Hodge Theory (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
Area of study [MAT-AGCA] Algebra, Geometry and Computer Algebra
Livecycle-State [NORM] Active

Contents

  • complex manifolds, subvarieties,
  • vector bundles, sections, cohomology,
  • applications, e.g. divisors and line bundles,
  • differential forms,
  • Serre duality.

Literature

  • P. Griffiths, J. Harris: Principles of Algebraic Geometry,
  • K. Fritzsche, H. Grauert: From Holomorphic Functions to Complex Manifolds.

Materials

Further literature will be announced in the lecture.

References to Course [MAT-42-22-K-7]

Module Name Context
[MAT-42-22-M-7] Complex Manifolds and Hodge Theory P: Obligatory 2V, 4.5 LP