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Moduli of Gorenstein Q-homology fake projective planes

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Matthias Schütt (Hannover)

What
  • SFB-Kolloquium
When Dec 17, 2015
from 03:30 pm to 04:30 pm
Where Mainz, 05-432 (Hilbertraum)
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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.