26 citations · 102 across the 29 of their papers we have counts for
6 papers · 1 filter
Some results from algebraic geometry over Henselian real valued fields
Krzysztof Jan Nowak
This paper develops algebraic geometry over Henselian real valued (i.e. of rank 1) fields , being a sequel to our paper about that over Henselian discretely valued fields. Sever…
Some results from algebraic geometry over complete discretely valued fields
Krzysztof Jan Nowak
This paper is concerned with algebraic geometry over complete discretely valued fields of equicharacteristic zero. Several results are given including: the canonical projection…
On division of quasianalytic function germs
Krzysztof Jan Nowak
In this paper, we establish the following criterion for divisibility in the local ring of those quasianalytic function germs at zero which are definable in a polynomially bounded s…
A counterexample concerning quantifier elimination in quasianalytic structures
Krzysztof Jan Nowak
This paper is a revised version of our preprints IMUJ Preprint 2012/04 and RAAG Preprint 343 from May 2012. It provides an example of a quasianalytic structure which, unlike the cl…
The imperfect Bose gas in d dimensions: critical behavior and Casimir forces
M. Napiorkowski, P. Jakubczyk, K. Nowak
We consider the d-dimensional imperfect (mean-field) Bose gas confined in a slit-like geometry and subject to periodic boundary conditions. Within an exact analytical treatment we…
Continuous rational functions on real and -adic varieties II
János Kollár, Krzysztof Nowak
This note replaces two earlier preprints (1101.3737 by Kollár) and (1211.6681 by Nowak). It studies, and partially solves, 3 elementary questions about continuous rational function…