$p$-torsion elements in local cohomology modules
$p$-torsion elements in local cohomology modules
For every prime integer p, M. Hochster conjectured the existence of certain p-torsion elements in a local cohomology module over a regular ring of mixed characteristic.We show that Hochster's conjecture is false.We next construct an example where a local cohomology module over a hypersurface has ptorsion elements for every prime …