Torsion sheaf

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In mathematics, a torsion sheaf is a sheaf {\mathcal {F}} on a site for which, for every quasi-compact U, the space of sections \Gamma (U,{\mathcal {F}}) is a torsion group. Similarly, for a prime number l, we say a sheaf {\mathcal {F}} is l-torsion if every section over any quasi-compact is killed by a power of l.

A torsion sheaf on an étale site is the union of its constructible subsheaves.[1]

Notes

  1. ↑ Milne 2012, Remark 17.6

References



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