Journal of Mathematics
Welcome to VerticalNews!
We're a pay-per-view site for premium content. If you'd like to purchase this article, it's only $3.00.
General Mathematics
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...
Click here for more articles from General Mathematics
Source: Journal of Mathematics (2012-01-31)
|
