Geodesic
ON TORUS ACTIONS OF HIGHER COMPLEXITY
Forum of Mathematics, Sigma, Tome 7 (2019)

Voir la notice de l'article provenant de la source Cambridge University Press

We systematically produce algebraic varieties with torus action by constructing them as suitably embedded subvarieties of toric varieties. The resulting varieties admit an explicit treatment in terms of toric geometry and graded ring theory. Our approach extends existing constructions of rational varieties with torus action of complexity one and delivers all Mori dream spaces with torus action. We exhibit the example class of ‘general arrangement varieties’ and obtain classification results in the case of complexity two and Picard number at most two, extending former work in complexity one. 
@article{10_1017_fms_2019_35,
     author = {J\"URGEN HAUSEN and CHRISTOFF HISCHE and MILENA WROBEL},
     title = {ON {TORUS} {ACTIONS} {OF} {HIGHER} {COMPLEXITY}},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {7},
     year = {2019},
     doi = {10.1017/fms.2019.35},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2019.35/}
}
TY  - JOUR
AU  - JÜRGEN HAUSEN
AU  - CHRISTOFF HISCHE
AU  - MILENA WROBEL
TI  - ON TORUS ACTIONS OF HIGHER COMPLEXITY
JO  - Forum of Mathematics, Sigma
PY  - 2019
VL  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1017/fms.2019.35/
DO  - 10.1017/fms.2019.35
LA  - en
ID  - 10_1017_fms_2019_35
ER  - 
%0 Journal Article
%A JÜRGEN HAUSEN
%A CHRISTOFF HISCHE
%A MILENA WROBEL
%T ON TORUS ACTIONS OF HIGHER COMPLEXITY
%J Forum of Mathematics, Sigma
%D 2019
%V 7
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1017/fms.2019.35/
%R 10.1017/fms.2019.35
%G en
%F 10_1017_fms_2019_35
JÜRGEN HAUSEN; CHRISTOFF HISCHE; MILENA WROBEL. ON TORUS ACTIONS OF HIGHER COMPLEXITY. Forum of Mathematics, Sigma, Tome 7 (2019). doi: 10.1017/fms.2019.35

Cité par Sources :