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arXiv · 2608.13403

Equivalences via twisted hyperholomorphic sheaves from transverse Lagrangian fibrations

Moritz Hartlieb·Saket Shah
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Abstract

Following ideas of Kapustka-Kapustka, we use Lagrangian fibrations to construct twisted hyperholomorphic sheaves on products of hyperk\"ahler manifolds of K3$^{[n]}$- and OG10-type. As applications, we prove the Lefschetz standard conjecture and the D-equivalence conjecture for hyperk\"ahler manifolds of OG10-type.

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Moritz Hartlieb, Saket Shah. 2026-08-13. Equivalences via twisted hyperholomorphic sheaves from transverse Lagrangian fibrations. https://arxiv.org/abs/2608.13403

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