An elliptic surface covered by Mumford's fake projective plane
An elliptic surface covered by Mumford's fake projective plane
Introduction.In [Mum], Mumford constructed an algebraic surface M of general type with K M 2 -9 and p g = q = 0.This surface is called Mumford's fake protective plane because it has the same Betti numbers as the complex protective plane (see [BPV, Historical Note]).No other example of fake …