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On Automorphic Forms of Small Weight for Fake Projective Planes

On Automorphic Forms of Small Weight for Fake Projective Planes

On the projective plane there is a unique cubic root of the canonical bundle and this root is acyclic. On fake projective planes such root exists and is unique if there are no 3-torsion divisors (and usually exists, but not unique, otherwise). Earlier we conjectured that any such cubic root …