| Title:
|
Orbit-cone correspondence for the proalgebraic completion of normal toric varieties (English) |
| Author:
|
Hernandez-Mada, Genaro |
| Author:
|
Martinez-Gil, Humberto Abraham |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
61 |
| Issue:
|
1 |
| Year:
|
2025 |
| Pages:
|
1-8 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that there is an orbit-cone correspondence for the proalgebraic completion of normal toric varieties, which is analogous to the classical orbit-cone correspondence for toric varieties. (English) |
| Keyword:
|
toric varieties |
| Keyword:
|
orbit-cone correspondence |
| Keyword:
|
proalgebraic completion |
| Keyword:
|
algebraic solenoid |
| MSC:
|
11R56 |
| MSC:
|
13B35 |
| MSC:
|
14M25 |
| MSC:
|
57R30 |
| DOI:
|
10.5817/AM2025-1-1 |
| . |
| Date available:
|
2025-03-24T13:04:23Z |
| Last updated:
|
2025-03-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152914 |
| . |
| Reference:
|
[1] Burgos, J.M., Verjovsky, A.: Adelic Toric Varieties and Adelic Loop Groups.arXiv:2001.07997v2. Preprint 2021. |
| Reference:
|
[2] Cox, D., Little, J., Schenck, H.: Toric Varieties.Grad. Stud. Math., vol. 124, AMS, 2011. MR 2810322 |
| Reference:
|
[3] Grothendieck, A., Raynaud, M.: Revêtement Étales et Groupe Fondamental (SGA1).Lecture Notes in Math., Springer, Berlin Heidelberg New York, 1971. MR 0354651 |
| Reference:
|
[4] Lyubich, M., Minsky, Y.: Laminations in holomorphic dynamics.J. Differential Geom. 47 (1997), 17–94. MR 1601430 |
| Reference:
|
[5] Oda, T.: Convex bodies and algebraic geometry: An introduction to the theory of toric varieties.Springer, 1988. MR 0922894 |
| Reference:
|
[6] Sullivan, D.: Solenoidal manifolds.J. Singul. 9 (2014), 203–205. MR 3249058 |
| . |
