English

Lagrangian planes in hyperk\"ahler varieties of $K3^{[n]}$-type

Algebraic Geometry 2022-06-22 v1

Abstract

Jieao Song recently conjectured a formula for the class of a Lagrangian plane on a hyperk\"ahler variety of K3[n]K3^{[n]}-type in terms of the class of a line on it. We give a proof of this conjecture if the line class is primitive.

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Cite

@article{arxiv.2206.10288,
  title  = {Lagrangian planes in hyperk\"ahler varieties of $K3^{[n]}$-type},
  author = {Georg Oberdieck},
  journal= {arXiv preprint arXiv:2206.10288},
  year   = {2022}
}

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18 pages