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Attractors are not algebraic

Number Theory 2024-05-08 v2 High Energy Physics - Theory Algebraic Geometry

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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Cite

@article{arxiv.2009.12650,
  title  = {Attractors are not algebraic},
  author = {Yeuk Hay Joshua Lam and Arnav Tripathy},
  journal= {arXiv preprint arXiv:2009.12650},
  year   = {2024}
}

Comments

Comments welcome! 24 pages

R2 v1 2026-06-23T18:49:01.477Z