3 papers
math.AC2004
Plethystic algebra
James Borger, Ben Wieland
The notion of a Z-algebra has a non-linear analogue, whose purpose it is to control operations on commutative rings rather than linear operations on abelian groups. These plethorie…
math.NT2001
Kato's conductor and generic residual perfection
James M. Borger
Let A be a complete discrete valuation ring with possibly imperfect residue field, and let be a one-dimensional Galois representation over A. I show that the non-logarithmic va…
math.NT2001
Conductors and the moduli of residual perfection
James M. Borger
Let A be a complete discrete valuation ring with possibly imperfect residue field. The purpose of this paper is to give a notion of conductor for Galois representations over A that…