It is well known that, given a point-line geometry Gamma and a projective embedding epsilon:Gamma --> PG(V), if dim(V) equals the size of a generating set of Gamma, then epsilon is not derived from any other embedding. Thus, if Gamma admits an absolutely universal embedding, then epsilon is absolutely universal. In this paper, without assuming the existence of any absolutely universal embedding, we give sufficient conditions for an embedding epsilon as above to be absolutely universal. (C) 2002 Elsevier Science B.V. All rights reserved.
Blok, R., Pasini, A. (2003). On absolutely universal embeddings. DISCRETE MATHEMATICS, 267(1-3), 45-62 [10.1016/S0012-365X(02)00602-7].
On absolutely universal embeddings
PASINI, ANTONIO
2003-01-01
Abstract
It is well known that, given a point-line geometry Gamma and a projective embedding epsilon:Gamma --> PG(V), if dim(V) equals the size of a generating set of Gamma, then epsilon is not derived from any other embedding. Thus, if Gamma admits an absolutely universal embedding, then epsilon is absolutely universal. In this paper, without assuming the existence of any absolutely universal embedding, we give sufficient conditions for an embedding epsilon as above to be absolutely universal. (C) 2002 Elsevier Science B.V. All rights reserved.
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https://hdl.handle.net/11365/7044
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