Equivalences via twisted hyperholomorphic sheaves from transverse Lagrangian fibrations

Moritz Hartlieb; Saket Shah

Equivalences via twisted hyperholomorphic sheaves from transverse Lagrangian fibrations

代数几何 2026-08-13 v1

作者: Moritz Hartlieb , Saket Shah

摘要

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.

引用

@article{arxiv.2608.13403,
  title  = {Equivalences via twisted hyperholomorphic sheaves from transverse Lagrangian fibrations},
  author = {Moritz Hartlieb and Saket Shah},
  journal= {arXiv preprint arXiv:2608.13403},
  year   = {2026}
}

备注

34 pages; comments are welcome