Geodesic
Covers of rational double points in mixed characteristic
Journal of Singularities, Tome 23 (2021), pp. 127-150

Voir la notice de l'article provenant de la source Journal of Singularities website

We further the classification of rational surface singularities. Suppose (S, n, k) is a 3-dimensional strictly Henselian regular local ring of mixed characteristic (0, p>5). We classify functions f for which S/(f) has an isolated rational singularity at the maximal ideal n. The classification of such functions are used to show that if (R, m, k) is an excellent, strictly Henselian, Gorenstein rational singularity of dimension 2 and mixed characteristic (0, p>5), then there exists a split finite cover of Spec(R) by a regular scheme. We give an application of our result to the study of 2-dimensional BCM-regular singularities in mixed characteristic. 
@article{10_5427_jsing_2021_23h,
     author = {J. Carvajal-Rojas and L. Ma and T. Polstra and K. Schwede, and K. Tucker},
     title = {Covers of rational double points in mixed characteristic},
     journal = {Journal of Singularities},
     pages = {127--150},
     publisher = {mathdoc},
     volume = {23},
     year = {2021},
     doi = {10.5427/jsing.2021.23h},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2021.23h/}
}
TY  - JOUR
AU  - J. Carvajal-Rojas
AU  - L. Ma
AU  - T. Polstra
AU  - K. Schwede,
AU  - K. Tucker
TI  - Covers of rational double points in mixed characteristic
JO  - Journal of Singularities
PY  - 2021
SP  - 127
EP  - 150
VL  - 23
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2021.23h/
DO  - 10.5427/jsing.2021.23h
ID  - 10_5427_jsing_2021_23h
ER  - 
%0 Journal Article
%A J. Carvajal-Rojas
%A L. Ma
%A T. Polstra
%A K. Schwede,
%A K. Tucker
%T Covers of rational double points in mixed characteristic
%J Journal of Singularities
%D 2021
%P 127-150
%V 23
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2021.23h/
%R 10.5427/jsing.2021.23h
%F 10_5427_jsing_2021_23h
J. Carvajal-Rojas; L. Ma; T. Polstra; K. Schwede,; K. Tucker. Covers of rational double points in mixed characteristic. Journal of Singularities, Tome 23 (2021), pp. 127-150. doi: 10.5427/jsing.2021.23h

Cité par Sources :