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arXiv · 1503.06444

Principe local global pour les espaces linéaires sur les intersections de deux quadriques

Jean-Louis Colliot-Thélène
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Abstract

In arXiv:1410.5671, Jahnel and Loughran prove the local global principle for existence of linear spaces of dimension $r$ on smooth complete intersections of two quadrics in projective space of dimension $2r+2$. We present an alternative proof of a slightly more general result. ----- Dans arXiv:1410.5671, Jahnel et Loughran établissent un principe local-global pour l'existence d'espaces linéaires de dimension $r$ dans les intersections complètes lisses de deux quadriques dans un espace projectif de dimension $2r+2$. On donne une démonstration alternative d'un résultat un peu plus général.

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Jean-Louis Colliot-Thélène. 2015-03-22. Principe local global pour les espaces linéaires sur les intersections de deux quadriques. https://arxiv.org/abs/1503.06444

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