Rational linear subspaces of hypersurfaces over finite fields
| Autor: | Fern��ndez, Mar��a In��s de Frutos, Garai, Sumita, Isham, Kelly, Murayama, Takumi, Smith, Geoffrey |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Popis: | Fix positive integers $n,r,d$. We show that if $n,r,d$ satisfy a suitable inequality, then any smooth hypersurface $X\subset \mathbb{P}^n$ defined over a finite field of characteristic $p$ sufficiently large contains a rational $r$-plane. Under more restrictive hypotheses on $n,r,d$ we show the same result without the assumption that $X$ is smooth or that $p$ is sufficiently large. 8 pages |
| Databáze: | OpenAIRE |
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