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Frobenius Tori and Weights; Getting Elements of Garith
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This chapter works on Gₘ/k. It considers an arithmetically semisimple object N ɛ Garith which is pure of weight zero. It assumes it is of the form G[1], with G a middle extension sheaf. Thus, for some open set j : U ⊂ ????ₘ, we have G = j
*Ƒ, for Ƒ := j
*
G a lisse sheaf on U which is pure of weight −1 and arithmetically semisimple, and having no geometric constituent isomorphic to a Kummer sheaf.
Title: Frobenius Tori and Weights; Getting Elements of Garith
Description:
This chapter works on Gₘ/k.
It considers an arithmetically semisimple object N ɛ Garith which is pure of weight zero.
It assumes it is of the form G[1], with G a middle extension sheaf.
Thus, for some open set j : U ⊂ ????ₘ, we have G = j
*Ƒ, for Ƒ := j
*
G a lisse sheaf on U which is pure of weight −1 and arithmetically semisimple, and having no geometric constituent isomorphic to a Kummer sheaf.
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