Moduli of Gorenstein Q-homology fake projective planes

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• Matthias Schuett (Leibniz University)
• Wednesday 02 December 2015, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Tyler Kelly.

Inspired by fake projective planes, this talk concerns normal projective surfaces whose Q-homology equals that of IP^2. I shall concentrate on the Gorenstein case of numerically trivial canonical bundle which is closely related to Enriques surfaces. In the complex case, I will give a complete classification of their moduli which turn out to be rational, 1-dimensional and defined over Q. Time permitting, I will also discuss subtleties in positive characteristic.

This talk is part of the Algebraic Geometry Seminar series.

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