Journal ArticleClassification of symplectic birational involutions of manifolds of OG10 typeMarquand, Lisa; Muller, Stevell<title>Abstract</title> <p>We give a complete classification of symplectic birational involutions of manifolds of<italic>OG</italic>10 type. We approach this classification with three techniques—via involutions of the Leech lattice, via involutions of cubic fourfolds, and finally lattice enumeration via a modified Kneser’s neighbour algorithm. The classification consists of three involutions with an explicit geometric realisation via cubic fourfolds, and three exceptional involutions which cannot be obtained by any known construction.</p>Springer Science2025-04-0110579597Mathematische Zeitschrift30940025-5874https://doi.org/10.1007/s00209-025-03697-82101640National Science Foundation