11 citations · 36 across the 37 of their papers we have counts for
8 papers · 1 filter
Ravenel's Global Conjecture is true
A. Salch
I prove Ravenel's 1983 "Global Conjecture" on $\Ext^1$ over the classifying Hopf algebroid of formal -modules, equivalently, the first flat cohomology group of the mo…
Ravenel's algebraic extensions of the sphere spectrum do not exist
A. Salch
In this paper we prove a topological nonrealizability theorem: certain classes of graded -modules are shown to never occur as the -homology of a spectrum. Many of these $…
Computation of the classifying ring of formal modules
Andrew Salch
In this paper, we develop general machinery for computing the classifying ring of one-dimensional formal -modules, for various commutative rings . We then apply the mac…
Obstructions to compatible splittings
Andrew Salch
Suppose one has a map of split short exact sequences in a category of modules, or more generally, in any abelian category. Do the short exact sequences split compatibly, i.e., does…
Failure of flat descent of model structures on module categories
Andrew Salch
We prove that the collection of model structures on (quasicoherent) module categories does not obey flat descent. In particular, it fails to be a separated presheaf, in the fppf to…
The Hochschild homology and cohomology of A(1)
Andrew Salch
We compute the Hochschild homology and cohomology of , the subalgebra of the -primary Steenrod algebra generated by the first two Steenrod squares, and . The…