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10 papers · 1 filter
Spectral Difference Equations Satisfied by KP Soliton Wavefunctions
Alex Kasman
The Baker-Akhiezer (wave) functions corresponding to soliton solutions of the KP hierarchy are shown to satisfy eigenvalue equations for a commutative ring of translational operato…
A Localization Algorithm for -modules
Toshinori Oaku, Nobuki Takayama, Uli Walther
We present a method to compute the holonomic extension of a -module from a Zariski open set in affine space to the whole space. A particular application is the localization of c…
Algebraic Shifting Increases Relative Homology
Art M. Duval
\newcommand{\rhomi}[1]{\widetilde{H}_{#1}} \newcommand{\rbeti}[1]{β_{#1}} \newcommand{\kk}{\mathbf k} \newcommand{\dimk}{\dim_{\kk}} We show that algebraically shifting a pair of s…
Supersimple fields and division rings
Anand Pillay, Thomas Scanlon, Frank Wagner
It is proved that any supersimple field has trivial Brauer group, and more generally that any supersimple division ring is commutative. As prerequisites we prove several results ab…
The Dirichlet problem for superdegenerate differential operators
Denis R. Bell, Salah E. -A. Mohammed
Let be an infinitely degenerate second-order linear operator defined on a bounded smooth Euclidean domain. Under weaker conditions than those of Hörmander, we show that the Dir…
Group structures of elementary supersingular abelian varieties over finite fields
Hui Zhu
Let A be a supersingular abelian variety over a finite field k. We give an approximate description of the structure of the group A(k) of rational points of A over k in terms of the…