Výsledky vyhledávání - "Stephen Scully"

On an Extension of Hoffmann’s Separation Theorem for Quadratic Forms

Autor: Stephen Scully

Publikováno v: International Mathematics Research Notices. 2022:11092-11147

Let $p$ and $q$ be anisotropic non-degenerate quadratic forms of dimension $\geq 2$ over an arbitrary field $F$, let $s$ be the unique non-negative integer for which $2^s 2k - 2^{s-1}$. This implies, in particular, that the conjecture holds if $\text

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fd3f6a5052f8b635f5d89281ba01a9f9
https://doi.org/10.1093/imrn/rnab029

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Hyperbolicity and near hyperbolicity of quadratic forms over function fields of quadrics

Autor: Stephen Scully

Publikováno v: Mathematische Annalen. 372:1437-1458

Let $p$ and $q$ be anisotropic quadratic forms over a field $F$ of characteristic $\neq 2$, let $s$ be the unique non-negative integer such that $2^s < \mathrm{dim}(p) \leq 2^{s+1}$, and let $k$ denote the dimension of the anisotropic part of $q$ aft

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9930080baca04892e77393f71cdf34cc
https://doi.org/10.1007/s00208-018-1705-9

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