We classify all embeddings theta : PG(n,K) -> PG(d, F), with d >= n(n+3)/2 and K, F skew fields with vertical bar K vertical bar > 2, such that 0 maps the set of points of each line of PG(n,K) to a set of coplanar points of PG(d, F), and such that the image of theta generates PG(d, F). It turns out that d = 1/2n(n + 3) and all examples "essentially" arise from a similar "full" embedding theta' : PG(n, K) -> PG(d,K) by identifying K with subfields of IF and embedding PG(d, K) into PG(d, F) by several ordinary field extensions. These "full" embeddings satisfy one more property and are classified in [5]. They relate to the quadric Veronesean of PG(n, K) in PG(d, K) and its projections from subspaces of PG(d, K) generated by sub-Veroneseans (th...
We prove a conjecture stated by Catalisano, Geramita, and Gimigliano in 2002, which claims that the ...
It is known that every lax projective embedding e : Gamma -> PG(V) of a point-line geometry Gamma...
It is known that every lax projective embedding e : Gamma -> PG(V) of a point-line geometry Gamma...
We classify all embeddings theta : PG(n,K) -> PG(d, F), with d >= n(n+3)/2 and K, F skew fields with...
We classify all embeddings theta : PG(n,K) -> PG(d, F), with d >= n(n+3)/2 and K, F skew fields with...
We classify all embeddings theta: PG(n, q) -> PG(d, q), with d >= n(n+3)/2 such that theta maps the ...
We classify all embeddings theta: PG(n, q) -> PG(d, q), with d >= n(n+3)/2 such that theta maps the ...
Let $\textbf{k}$ and $\textbf{K}$ be commutative fields, and $l,m$ integers with $l ≥ 1, m ≥ 2$. Sup...
In this paper, we prove that every lax generalized Veronesean embedding of the Hermitian unital of a...
In this paper, we prove that every lax generalized Veronesean embedding of the Hermitian unital of a...
In this paper, we prove that every lax generalized Veronesean embedding of the Hermitian unital of a...
Given a point-line geometry $\Gamma$ and a pappian projective space $\cal S$, a veronesean embedding...
Given a point-line geometry $\Gamma$ and a pappian projective space $\cal S$, a veronesean embedding...
Given a point-line geometry $\Gamma$ and a pappian projective space $\cal S$, a veronesean embedding...
Given a point-line geometry $\Gamma$ and a pappian projective space $\cal S$, a veronesean embedding...
We prove a conjecture stated by Catalisano, Geramita, and Gimigliano in 2002, which claims that the ...
It is known that every lax projective embedding e : Gamma -> PG(V) of a point-line geometry Gamma...
It is known that every lax projective embedding e : Gamma -> PG(V) of a point-line geometry Gamma...
We classify all embeddings theta : PG(n,K) -> PG(d, F), with d >= n(n+3)/2 and K, F skew fields with...
We classify all embeddings theta : PG(n,K) -> PG(d, F), with d >= n(n+3)/2 and K, F skew fields with...
We classify all embeddings theta: PG(n, q) -> PG(d, q), with d >= n(n+3)/2 such that theta maps the ...
We classify all embeddings theta: PG(n, q) -> PG(d, q), with d >= n(n+3)/2 such that theta maps the ...
Let $\textbf{k}$ and $\textbf{K}$ be commutative fields, and $l,m$ integers with $l ≥ 1, m ≥ 2$. Sup...
In this paper, we prove that every lax generalized Veronesean embedding of the Hermitian unital of a...
In this paper, we prove that every lax generalized Veronesean embedding of the Hermitian unital of a...
In this paper, we prove that every lax generalized Veronesean embedding of the Hermitian unital of a...
Given a point-line geometry $\Gamma$ and a pappian projective space $\cal S$, a veronesean embedding...
Given a point-line geometry $\Gamma$ and a pappian projective space $\cal S$, a veronesean embedding...
Given a point-line geometry $\Gamma$ and a pappian projective space $\cal S$, a veronesean embedding...
Given a point-line geometry $\Gamma$ and a pappian projective space $\cal S$, a veronesean embedding...
We prove a conjecture stated by Catalisano, Geramita, and Gimigliano in 2002, which claims that the ...
It is known that every lax projective embedding e : Gamma -> PG(V) of a point-line geometry Gamma...
It is known that every lax projective embedding e : Gamma -> PG(V) of a point-line geometry Gamma...