Moduli of Gorenstein ℚ-homology projective planes

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  • Schütt Matthias
    Institut für Algebraische Geometrie, Leibniz Universität Hannover, Riemann Center for Geometry and Physics, Leibniz Universität Hannover

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  • Moduli of Gorenstein $\mathbb{Q}$-homology projective planes

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Abstract

<p>We give a complete classification of complex ℚ-homology projective planes with numerically trivial canonical bundle. There are 31 types, and each has one-dimensional moduli. In fact, all moduli curves are rational and defined over ℚ, and we determine all families explicitly using extremal rational elliptic surfaces and Enriques involutions of base change type.</p>

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