Torsion sheaf

In mathematics, a torsion sheaf is a sheaf of abelian groups $ℱ$ on a site for which, for every object U, the space of sections $\mathrm{\Gamma }(U,ℱ)$ is a torsion abelian group. Similarly, for a prime number p, we say a sheaf $ℱ$ 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.

See also

• Twisted sheaf

References

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• J. S. Milne, Étale Cohomology
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