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Autor:
Johnson, Peter M
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 employed machinery. Even the deep local-to-global property of formal smo
Externí odkaz:
http://arxiv.org/abs/1602.06569
Autor:
Johnson, Peter M., Lins, Sóstenes
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 this state sum we obtain an invariant of regular isotopy for the tangles
Externí odkaz:
http://arxiv.org/abs/1211.0422
Autor:
Johnson, Peter M., Lins, Sóstenes
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 kind. This reworking of the graphical foundations for link and tangle
Externí odkaz:
http://arxiv.org/abs/1210.6681
Autor:
Johnson, Peter M.
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 degrees d' does not always form an interval. An easy method for inverting t
Externí odkaz:
http://arxiv.org/abs/1105.1188
Autor:
Johnson, Peter M.
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 generated by quadratic monomials. The toric ideal of relations between these g
Externí odkaz:
http://arxiv.org/abs/0805.4449
Autor:
Johnson, Peter M.
The foundations of forcing theory are reworked to streamline the presentation and to show how the most basic results are applicable in very general contexts.
Comment: 7 pages, plain TeX
Comment: 7 pages, plain TeX
Externí odkaz:
http://arxiv.org/abs/0712.1968
Autor:
Johnson, Peter M.
We give an especially simple proof of a theorem in graph theory that forms the key part of the solution to a problem in commutative algebra, on how to characterize the integral closure of a polynomial ring generated by quadratic monomials.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/0704.3696
Publikováno v:
Proceedings of SPIE; March 2024, Vol. 12892 Issue: 1 p128920O-128920O-8, 1160289p
Publikováno v:
In Advances in Accounting, incorporating Advances in International Accounting June 2015 31(1):55-67