A Theorem About Maximal Cohen–Macaulay Modules
Keyword(s):
Abstract It is shown that for any local strongly $F$-regular ring there exists natural number $e_0$ so that if $M$ is any finitely generated maximal Cohen–Macaulay module, then the pushforward of $M$ under the $e_0$th iterate of the Frobenius endomorphism contains a free summand. Consequently, the torsion subgroup of the divisor class group of a local strongly $F$-regular ring is finite.
2003 ◽
Vol 74
(3)
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pp. 421-436
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1994 ◽
Vol 96
(2)
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pp. 97-112
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2003 ◽
Vol 46
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pp. 257-267
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2009 ◽
Vol 322
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pp. 3373-3391
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1981 ◽
pp. 146-171