Geodesic
Classification of normal toric varieties over a valuation ring of rank one
Documenta mathematica, Tome 20 (2015), pp. 171-198.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Normal toric varieties over a field or a discrete valuation ring are classified by rational polyhedral fans. We generalize this classification to normal toric varieties over an arbitrary valuation ring of rank one. The proof is based on a generalization of Sumihiro's theorem to this non-noetherian setting. These toric varieties play an important role for tropicalizations.
Classification : 14M25, 14L30, 13F30 
@article{DOCMA_2015__20__a36,
     author = {Gubler, Walter and Soto, Alejandro},
     title = {Classification of normal toric varieties over a valuation ring of rank one},
     journal = {Documenta mathematica},
     pages = {171--198},
     publisher = {mathdoc},
     volume = {20},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a36/}
}
TY  - JOUR
AU  - Gubler, Walter
AU  - Soto, Alejandro
TI  - Classification of normal toric varieties over a valuation ring of rank one
JO  - Documenta mathematica
PY  - 2015
SP  - 171
EP  - 198
VL  - 20
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a36/
LA  - en
ID  - DOCMA_2015__20__a36
ER  - 
%0 Journal Article
%A Gubler, Walter
%A Soto, Alejandro
%T Classification of normal toric varieties over a valuation ring of rank one
%J Documenta mathematica
%D 2015
%P 171-198
%V 20
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a36/
%G en
%F DOCMA_2015__20__a36
Gubler, Walter; Soto, Alejandro. Classification of normal toric varieties over a valuation ring of rank one. Documenta mathematica, Tome 20 (2015), pp. 171-198. http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a36/