Abstract
We collect several subjects of the modern Mathematical Physics like integrable quad-graphs, discriminantly separable polynomials, the Petrov classification, the algebro-geometric approach to the Yang-Baxter equation and quadrirational maps since they all lead to the same geometric background. The geometry is related to pencils of conics, and the classification code follows the types of pencils.
Mathematics Subject Classification (2010). 14H70, 37K20, 37K60 (82A69, 83C20).
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Dragović, V. (2013). Pencils of Conics as a Classification Code. In: Kielanowski, P., Ali, S., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0448-6_27
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DOI: https://doi.org/10.1007/978-3-0348-0448-6_27
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