Showing a limited preview of this publication:
Abstract
The smallest topological Euler–Poincaré characteristic supported on a smooth surface of general type is 3. In this paper, we show that such a surface has to be a fake projective plane unless h1, 0 (M) = 1. Together with the classification of fake projective planes given by Prasad and Yeung, the recent work of Cartwright and Steger, and a proof of the arithmeticity of the lattices involved in the present article, this gives a classification of such surfaces.
Received: 2011-01-04
Revised: 2011-04-29
Published Online: 2012-04-03
Published in Print: 2013-06
©[2013] by Walter de Gruyter Berlin Boston
