Mathematics – Algebraic Geometry
Scientific paper
2011-09-29
Mathematics
Algebraic Geometry
Scientific paper
We consider the problem of constructing triangulations of projective planes over Hurwitz algebras with minimal numbers of vertices. We observe that the numbers of faces of each dimension must be equal to the dimensions of certain representations of the automorphism groups of the corresponding Severi varieties. We construct a complex involving these representations, which should be considered as a geometric version of the (putative) triangulations.
Chapoton Frederic
Manivel Laurent
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