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Named after the mathematicians Kummer, Kähler, Kodaira and the mountain K2, K3 surfaces have a central place in the classification of algebraic surfaces. A complex K3 surface is a compact smooth complex surface which is simply connected and has trivial canonical bundle.
A prominent example is the Fermat quartic defined by the equation


in P3. K3 surfaces have been studied with a range of methods from algebraic geometry which gives us the opportunity
to learn these methods in a concrete application.
  • Huybrechts, D. (2016). Lectures on K3 Surfaces (Cambridge Studies in Advanced
    Mathematics). Cambridge: Cambridge University Press.
  • Barth, Hulek, Peters, Van de Ven. Compact Complex Surfaces Springer 2004.

Familiarity with the methods of algebraic geometry.


Via e-mail until October 30.