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Preprint in the OpenAI Math release

Symmetry of semialgebraic bounded domains with compact quotient

OpenAI

Abstract

Every nonempty connected semialgebraic bounded open subset of a complex affine variety admitting a properly discontinuous cocompact group of biholomorphisms is smooth and biholomorphic to a bounded symmetric domain. This answers the bounded-domain question of Kollár and Pardon affirmatively.

open until 1 Jan 2028

est. 50% chance this result is independently verified by the end of 2027.

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