Ein ?Descente"-Lemma und Grothendiecks Projektionssatz für nicht-noethersche Schemata.
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Reinhardt Kiehl (1972)
Mathematische Annalen
Kyoji Saito (1974)
Inventiones mathematicae
Magnar Dale (1979)
Mathematica Scandinavica
Alexander Vishik (2011)
Annales scientifiques de l'École Normale Supérieure
In this article we prove the conjecture claiming that the motive of a real quadric is the “most decomposable” among anisotropic quadrics of given dimension over all fields. This imposes severe restrictions on the motive of arbitrary anisotropic quadric. As a corollary we estimate from below the rank of indecomposable direct summand in the motive of a quadric in terms of its dimension. This generalizes the well-known Binary Motive Theorem. Moreover, we have the description of the Tate motives involved....
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