The purpose of this paper is to give the algebraic topological background for elliptic cohomology theory and to pose some number theoretic problems suggested by these concepts. Algebraic topologists study functors from the category of spaces to various algebraic categories. In particular there are functors to the category of graded rings called multiplicative generalized cohomology theories. (A...

On a suitable category of formal schemes equipped with codimension functions we construct a canonical pseudofunctor (−)♯ taking values in the corresponding categories of Cousin complexes. Cousin complexes on such a formal scheme X functorially represent derived-category objects F by the local cohomologies H codim(x) x F (x ∈ X) together with “residue maps” from the cohomology at x to that at ea...