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- W2289773096 abstract "Let $K$ be a commutative field and let $V$ be a subspace of $P^{n}(K)$. Let $Gamma$ be a subgroup of $operatorname{Aut}(K)$ and define the action of $Gamma$ on $P^{n}(K)$ by letting $sigma((x_{i})_{0leqslant ileqslant n})$ be $(sigma(x_{i}))_{0leqslant ileqslant n}$ for $sigmainGamma$, $(x_{i})_{0leqslant ileqslant n}in P^{n}(K)$. In this paper, using two arithmetic notions defined in terms of the Pl{u}cker coordinates of $V$ and the invariant field of $Gamma$, we answer the questions: By what number is the dimension of the join (resp. meet) of $sigma(V)$ ($sigmainGamma$) greater (resp. less) than the dimension of $V$?" @default.
- W2289773096 created "2016-06-24" @default.
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- W2289773096 date "2016-03-04" @default.
- W2289773096 modified "2023-09-27" @default.
- W2289773096 title "Two arithmetic relations of a subspace of $P^{n}(K)$ and a subgroup of $operatorname{Aut}(K)$" @default.
- W2289773096 hasPublicationYear "2016" @default.
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