Enumeration of the 50 fake projective planes
Authors:
- Donald I. CartwrightDCDonald I. Cartwright
- Tim StegerTSTim Steger
Top Cited Papers
Open Access
- 29 December 2009
- journal article
- Published by MathDoc/Centre Mersenne in Comptes Rendus Mathématique
- Vol. 348 (1-2) , 11-13
Abstract
Building upon the classification of Prasad and Yeung [Invent. Math. 168 (2007) 321–370], we have shown that there exist exactly 50 fake projective planes (up to homeomorphism; 100 up to biholomorphism), and exhibited each of them explicitly as a quotient of the unit ball in . Some of these fake planes admit singular quotients by 3 element groups and three of these quotients are simply connected. Also exhibited are algebraic surfaces with for any positive integer n.
Keywords
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