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arXiv · 2009.12650

Attractors are not algebraic

Yeuk Hay Joshua Lam·Arnav Tripathy
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Abstract

The Attractor Conjecture for Calabi-Yau moduli spaces predicts the algebraicity of the moduli values of certain isolated points picked out by Hodge-theoretic conditions. We provide a family of counterexamples to the Attractor Conjecture in all suitably high, odd dimensions conditional on the Zilber-Pink conjecture.

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Yeuk Hay Joshua Lam, Arnav Tripathy. 2020-09-26. Attractors are not algebraic. https://doi.org/10.1112/s0010437x24007036

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