Abstract
A -dimensional dual hyperoval can be regarded as the image of a full -dimensional projective embedding of a dual circular space . The affine expansion of is a semibiplane and its universal cover is the expansion of the abstract hull of .
In this paper we consider Huybrechts’s dual hyperoval, namely where is the dual of the affine space and is induced by the embedding of the line grassmannian of in .
It is known that the universal cover of is a truncation of a Coxeter complex of type and that, if is the codomain of the abstract hull of , then is a subgroup of the Coxeter group of type , but is non-commutative. This information does not explain what the structure of is and how is placed inside . These questions will be answered in this paper.
Citation
Alberto Del Fra. Antonio Pasini. "The universal representation group of Huybrechts's dimensional dual hyperoval." Innov. Incidence Geom. 3 121 - 148, 2006. https://doi.org/10.2140/iig.2006.3.121
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