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- W3105808288 abstract "Quaternionic tori are defined as quotients of the skew field $mathbb H$ of quaternions by rank-4 lattices. Using slice regular functions, these tori are endowed with natural structures of quaternionic manifolds (in fact quaternionic curves), and a fundamental region in a 12-dimensional real subspace is then constructed to classify them up to biregular diffeomorphisms. The points of the moduli space correspond to suitable special bases of rank-4 lattices, which are studied with respect to the action of the group GL$(4, mathbb Z)$, and up to biregular diffeomeorphisms. All tori with a non trivial group of biregular automorphisms – and all possible groups of their biregular automorphisms – are then identified, and recognized to correspond to five different subsets of boundary points of the moduli space." @default.
- W3105808288 created "2020-11-23" @default.
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- W3105808288 date "2018-05-24" @default.
- W3105808288 modified "2023-10-18" @default.
- W3105808288 title "On quaternionic tori and their moduli space" @default.
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- W3105808288 doi "https://doi.org/10.4171/jncg/284" @default.
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