| Title:
|
Polytopes, quasi-minuscule representations and rational surfaces (English) |
| Author:
|
Lee, Jae-Hyouk |
| Author:
|
Xu, Mang |
| Author:
|
Zhang, Jiajin |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
67 |
| Issue:
|
2 |
| Year:
|
2017 |
| Pages:
|
397-415 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We describe the relation between quasi-minuscule representations, polytopes and Weyl group orbits in Picard lattices of rational surfaces. As an application, to each quasi-minuscule representation we attach a class of rational surfaces, and realize such a representation as an associated vector bundle of a principal bundle over these surfaces. Moreover, any quasi-minuscule representation can be defined by rational curves, or their disjoint unions in a rational surface, satisfying certain natural numerical conditions. (English) |
| Keyword:
|
rational surface |
| Keyword:
|
minuscule representation |
| Keyword:
|
polytope |
| MSC:
|
14J26 |
| MSC:
|
14N20 |
| idZBL:
|
Zbl 06738527 |
| idMR:
|
MR3661049 |
| DOI:
|
10.21136/CMJ.2017.0676-15 |
| . |
| Date available:
|
2017-06-01T14:28:26Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146764 |
| . |
| Reference:
|
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