Journal of Mathematics
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Research from University of Heidelberg Yields New Data on General Mathematics
January 31st, 2012
According to the authors of recent research from Heidelberg, Germany, "On a locally Noetherian scheme X over a field of positive characteristic p, we study the category of coherent OX-modules M equipped with a p(-e)-linear map, i.e. an additive map C: O-X -> O-X satisfying rC(m) = C(r(pe)m) for all m is an element of M, r is an element of O-X. The notion of nilpotence, meaning that some power of the map C is zero, is used to rigidify this category."
"The resulting quotient category, called Cartier crystals, satisfies some strong finiteness conditions. The main result in this paper states that, if the Frobenius morphism on X is a finite map, i.e. if X is F-finite, then all...
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Source: Journal of Mathematics (2012-01-31)