Grassmann embeddings of polar Grassmannians
نویسندگان
چکیده
منابع مشابه
Embeddings of Line-grassmannians of Polar Spaces in Grassmann Varieties
An embedding of a point-line geometry Γ is usually defined as an injective mapping ε from the point-set of Γ to the set of points of a projective space such that ε(l) is a projective line for every line l of Γ. However, different situations are considered in the literature, where ε(l) is allowed to be a subline of a projective line or a curve. In this paper we propose a more general definition ...
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In this paper we prove that if a Grassmann space Δ = GrA(m,h,K) of the h–subspaces of an affine space A = AG(m,K) has an embedding e into a projective space PG(n,K′) over a skew–field K′, and e satisfies two suitable conditions (α) and (β), then K and K′ are isomorphic fields and Δ is, up to projections, an affine Grassmannian. Mathematics Subject Classification (2000). 51A45; 51M35.
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2020
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2019.105133