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math.DG2015
Symmetries of holomorphic geometric structures on tori
Sorin Dumitrescu, Benjamin McKay
We prove that any holomorphic locally homogeneous geometric structure on a complex torus, modelled on a complex homogeneous surface, is translation invariant. We conjecture that th…
math.DG2015
Affine connections on complex manifolds of algebraic dimension zero
Sorin Dumitrescu, Benjamin McKay
We prove that any compact complex manifold with finite fundamental group and algebraic dimension zero admits no holomorphic affine connection.