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math.CV2022
Bounded meromorphic functions on the complex 2-disc
János Kollár
We describe bounded, holomorphic functions on the complex 2-disc, that admit meromorphic extension to a larger 2-disc. This solves a conjecture of Bickel, Knese, Pascoe and Sola. T…
math.CV2012
Homotopically trivial deformations
Javier Fernandez de Bobadilla, János Kollár
We study deformations of complex projective varieties that are homotopically or homologically trivial. We formulate several conjectures and give some examples and partial answers.