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Torsion sheaf

From Wikipedia, the free encyclopedia

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.[1]

See also

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Notes

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  1. ^ Milne 2012, Remark 17.6

References

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  • Milne, James S. (2012). "Lectures on Étale Cohomology" (PDF).
  • J. S. Milne, Étale Cohomology
  • Fu, Lei (2015). Etale Cohomology Theory. Nankai Tracts in Mathematics. Vol. 14. doi:10.1142/9569. ISBN 978-981-4675-08-6.