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arXiv · 2206.10288

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

Georg Oberdieck
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Abstract

Jieao Song recently conjectured a formula for the class of a Lagrangian plane on a hyperk\"ahler variety of $K3^{[n]}$-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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Georg Oberdieck. 2022-06-21. Lagrangian planes in hyperk\"ahler varieties of $K3^{[n]}$-type. https://arxiv.org/abs/2206.10288

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