Results 1 to 10 of about 62 (48)
Embeddings of Ree unitals in a projective plane over a field [PDF]
, 2021 We show that the Ree unital $\mathcal{R}(q)$ has an embedding in a projective plane over a field $F$ if and only if $q=3$ and $\mathbb{F}_8$ is a subfield of $F$. In this case, the embedding is unique up to projective linear transformations.
Nagy, Gábor P.
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Veronese representation of projective Hjelmslev planes over some quadratic alternative algebras [PDF]
, 2020 We geometrically characterise the Veronese representations of ring projective planes over algebras which are analogues of the dual numbers, giving rise to projective Hjelmslev planes of level 2 coordinatised over quadratic alternative algebras.
De Schepper, Anneleen +1 more
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The Class of Non-Desarguesian Projective Planes is Borel Complete [PDF]
, 2018 For every infinite graph $\Gamma$ we construct a non-Desarguesian projective plane $P^*_{\Gamma}$ of the same size as $\Gamma$ such that $Aut(\Gamma) \cong Aut(P^*_{\Gamma})$ and $\Gamma_1 \cong \Gamma_2$ iff $P^*_{\Gamma_1} \cong P^*_{\Gamma_2 ...
Paolini, Gianluca
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, 1929 Our aim is to initiate the study of fibered geometries, in particular fibered projective planes and fibered generalized polygons. In fact, we apply the theory of fuzzy sets in a particular way on incidence geometry.
Kuijken, Leen, Van Maldeghem, Hendrik
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Generalized Sylvester Gallai configurations [PDF]
, 1970 Thesis (Ph. D.)--Michigan State University.
Nwankpa, Sonde Ndubeze, 1935-
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Cosmology = topology/geometry: mathematical evidence for the Holographic Principle [PDF]
, 2016 In August 2015 NORDITA (Nordic Institute for Theoretical Physics) hosted a conference where Hawking strongly supported the conjectured relationship between string theory and quantum fields that was initiated with the holographic principle some 20 years ...
Alahmadi, AN, Glynn, DG
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, 2023 A projective rectangle is like a projective plane that has different lengths in two directions. We develop the basic theory of projective rectangles including incidence properties, projective subplanes, configuration counts, a partial Desargues's theorem,
Florez, Rigoberto, Zaslavsky, Thomas
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An outline of polar spaces: basics and advances
, 2013 This paper is an extended version of a series of lectures on polar spaces given during the workshop and conference 'Groups and Geometries', held at the Indian Statistical Institute in Bangalore in December 2012.
A Blokhuis +56 more
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Universal partial hyperfields of matroids and their prespaces of orderings [PDF]
, 2023 We associate a partial hyperfield ⁽⁰⁾(M) with every matroid M by defining an addition on the elements of its inner Tutte group with an additional zero element such that M is representable over ⁽⁰⁾(M), and every representation of M over a partial ...
Hoya, Marcel
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