Geodesic
Algebro-geometric Approach to the Yang-Baxter Equation and Related Topics
Publications de l'Institut Mathématique, _N_S_91 (2012) no. 105, p. 25 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

We review the results of algebro-geometric approach to $4\times 4$ solutions of the Yang-Baxter equation. We emphasis some further geometric properties, connected with the double-reflection theorem, the Poncelet porism and the Euler-Chasles correspondence. We present a list of classifications in Mathematical Physics with a similar geometric background, related to pencils of conics. In the conclusion, we introduce a notion of discriminantly factorizable polynomials as a result of a computational experiment with elementary $n$-valued groups.
Classification : 14H70 82B23 37J35 39A12 
@article{PIM_2012_N_S_91_105_a3,
     author = {Vladimir Dragovi\'c},
     title = {Algebro-geometric {Approach} to the {Yang-Baxter} {Equation} and {Related} {Topics}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {25 },
     year = {2012},
     volume = {_N_S_91},
     number = {105},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2012_N_S_91_105_a3/}
}
TY  - JOUR
AU  - Vladimir Dragović
TI  - Algebro-geometric Approach to the Yang-Baxter Equation and Related Topics
JO  - Publications de l'Institut Mathématique
PY  - 2012
SP  - 25 
VL  - _N_S_91
IS  - 105
UR  - http://geodesic.mathdoc.fr/item/PIM_2012_N_S_91_105_a3/
LA  - en
ID  - PIM_2012_N_S_91_105_a3
ER  - 
%0 Journal Article
%A Vladimir Dragović
%T Algebro-geometric Approach to the Yang-Baxter Equation and Related Topics
%J Publications de l'Institut Mathématique
%D 2012
%P 25 
%V _N_S_91
%N 105
%U http://geodesic.mathdoc.fr/item/PIM_2012_N_S_91_105_a3/
%G en
%F PIM_2012_N_S_91_105_a3
Vladimir Dragović. Algebro-geometric Approach to the Yang-Baxter Equation and Related Topics. Publications de l'Institut Mathématique, _N_S_91 (2012) no. 105, p. 25 . http://geodesic.mathdoc.fr/item/PIM_2012_N_S_91_105_a3/