Every smooth projective surface X over an algebraically closed field of char p ≥ 7 with h¹(X, O_X) = 2 and p₁(X) = p₂(X) = 1 is birational to an Abelian surface.
Higher direct images of dualizing sheaves
2 Pith papers cite this work. Polarity classification is still indexing.
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Affine closure of T*O_n in sl_n is isomorphic via C*-Hamiltonian reduction to the minimal nilpotent orbit closure in so_{2n+2}, and has no symplectic resolution.
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Enriques' characterization of Abelian surfaces in positive characteristic
Every smooth projective surface X over an algebraically closed field of char p ≥ 7 with h¹(X, O_X) = 2 and p₁(X) = p₂(X) = 1 is birational to an Abelian surface.
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A connection between minimal nilpotent orbits of types A and D via Hamiltonian reduction
Affine closure of T*O_n in sl_n is isomorphic via C*-Hamiltonian reduction to the minimal nilpotent orbit closure in so_{2n+2}, and has no symplectic resolution.