Characteristic elements for $p$-torsion Iwasawa modules
نویسندگان
چکیده
منابع مشابه
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 p-torsion elements for every prime integer p, and consequently has infinitely many associated prim...
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Gennady Lyubeznik conjectured that if R is a regular ring and a is an ideal of R, then the local cohomology modules H i a(R) have only finitely many associated prime ideals, [Ly1, Remark 3.7 (iii)]. While this conjecture remains open in this generality, several results are now available: if the regular ring R contains a field of prime characteristic p > 0, Huneke and Sharp showed in [HS] that t...
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ژورنال
عنوان ژورنال: Journal of Algebraic Geometry
سال: 2006
ISSN: 1056-3911,1534-7486
DOI: 10.1090/s1056-3911-05-00415-7