Slopes of powers of Frobenius on crystalline cohomology
نویسندگان
چکیده
منابع مشابه
Associated primes of local cohomology modules and of Frobenius powers
We construct normal hypersurfaces whose local cohomology modules have infinitely many associated primes. These include unique factorization domains of characteristic zero with rational singularities, as well as F-regular unique factorization domains of positive characteristic. As a consequence, we answer a question on the associated primes of Frobenius powers of ideals, which arose from the loc...
متن کاملInfinitely many associated primes of Frobenius powers and local cohomology
A modification of Katzman’s example is given to produce a two-generated ideal in a two-dimensional Noetherian integral domain for which the set of associated primes of all the Frobenius powers is infinite. A further modification yields a four-dimensional Noetherian integral domain and a five-dimensional Noetherian local integral domain for which an explicit second local cohomology module has in...
متن کاملInnnitely Many Associated Primes of Frobenius Powers and Local Cohomology
A modiication of Katzman's example is given to produce a two-generated ideal in a two-dimensional Noetherian integral domain for which the set of associated primes of all the Frobenius powers is innnite. A further modiication yields a four-dimensional Noetherian integral domain and a ve-dimensional Noetherian local integral domain for which an explicit second local cohomology module has innnite...
متن کاملAssociated primes of local cohomology modules and Frobenius powers
We construct normal hypersurfaces whose local cohomology modules have infinitely many associated primes. These include hypersurfaces of characteristic zero with rational singularities, as well as F-regular hypersurfaces of positive characteristic. As a consequence, we answer a question on the associated primes of certain families of ideals which arose from the localization problem in tight clos...
متن کاملComputations with Frobenius Powers
It is an open question whether tight closure commutes with localization in quotients of a polynomial ring in finitely many variables over a field. Katzman [K] showed that tight closure of ideals in these rings commutes with localization at one element if for all ideals I and J in a polynomial ring there is a linear upper bound in q on the degree in the least variable of reduced Gröbner bases in...
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ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 1981
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.1411