Non-existence of Enriques manifolds from OG10 type manifolds
Abstract
We use the LLV algebra to describe the action of a finite order automorphism on the total cohomology of a manifold of OG10 type. As an application, we prove that no Enriques manifolds arise as \'etale quotients of hyper-K\"ahler manifolds of OG10 type. This answers a question raised by Pacienza and Sarti.
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