Abstract
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 a geometric version of the (putative) triangulations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have