2 citations · 5 across the 7 of their papers we have counts for
7 papers
An analysis of Euclid's geometrical foundations
Peter M Johnson
The initial techniques developed in Euclid's Elements, well before the use of the parallel postulate, are reexamined in order to clarify even the most obscure details, particularly…
Smooth scheme morphisms: a fresh view
Peter M Johnson
Relations between some kinds of formal and standard smoothness, for morphisms of schemes, are clarified in surprisingly simple and direct ways, bypassing much of the customarily em…
A state sum invariant of tangles in surfaces
Peter M. Johnson, Sóstenes Lins
In this paper we define a new state sum based on the regions defined by tangles on a surface which is an oriented closed surface with a finite number of open holes drilled. From th…
A graphical calculus for tangles in surfaces
Peter M. Johnson, Sóstenes Lins
We show how the theory of tangles is equivalent to that of well-connected tangles. These are drawn on a surface with boundary, and equivalent via Reidemeister moves of a restricted…
Inverses of monomial Cremona maps
Peter M. Johnson
We show that monomial Cremona maps of degree d on P^n can have inverses whose degree d' is quite large (for d > 2, d' = ((d-1)^n - 1)/(d-2) occurs), and that the full list of degre…
Toric ideals of normalized graph algebras
Peter M. Johnson
A graph-theoretic method, simpler than existing ones, is used to characterize the minimal set of monomial generators for the integral closure of any algebra of polynomials generate…