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About: Torsion sheaf     Goto   Sponge   NotDistinct   Permalink

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In mathematics, a torsion sheaf is a sheaf of abelian groups on a site for which, for every object U, the space of sections is a torsion abelian group. Similarly, for a prime number p, we say a sheaf is p-torsion if every section over any object is killed by a power of p. A torsion sheaf on an étale site is the union of its constructible subsheaves.