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math.CV2023
Almost complex manifolds from the point of view of Kodaira dimension
Andrea Cattaneo
In complex geometry a classical and useful invariant of a complex manifold is its Kodaira dimension. Since its introduction by Iitaka in the early 70's, its behavior under deformat…
math.AG2023
A note on the automorphism group of Kodaira surfaces
Andrea Cattaneo
We give an explicit description of the automorphism groups of primary and secondary Kodaira surfaces. We first prove that every automorphism of a Kodaira surface lifts to an affine…