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Faculty of Mathematics, Physics & Computer Science

Chair of Mathematics I - Complex Analysis - Prof. Dr. Thomas Peternell

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​Welcome to the Chair of Complex Analysis

The chair deals with topics from complex geometry, i.e., the theory of complex varieties.

Complex varieties occur in a wide variety of contexts:

  • as solution sets of polynomial equations (algebraic varieties)
  • as spaces with certain curvature properties in differential geometric contexts
  • as parameter spaces of geometric objects, such as curves, or
  • as model spaces in physics, for example in quantum field theory (Calabi-Yau varieties)

Many different areas of mathematics are used in the study of complex varieties:

  • Real and complex analysis
  • Differential geometry
  • commutative and homological algebra
  • Topology

Webmaster: Univ.Prof.Dr. Thomas Peternell

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