We review the results of algebro-geometric approach to 4× 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, ...

In this paper, we give a sufficient condition for graph choosability, based on Combinatorial Nullstellensatz and a specific property, called “double list colorability”, which means that there is a list assignment for which there are exactly two admissible colorings.