| Authors: | Dragović, Vladimir | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Pencils of conics as a classification code | Journal: | Trends in Mathematics | Volume: | 59 | First page: | 323 | Last page: | 330 | Conference: | 30th Workshop on Geometric Methods in Physics, 2011; Bialowieza; Poland; 26 June 2011 through 2 July 2011 | Issue Date: | 1-Jan-2013 | ISBN: | 978-3-034-80447-9 | ISSN: | 2297-0215 | DOI: | 10.1007/978-3-0348-0448-6_27 | 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. |
Keywords: | Discrminantly separable polynomials | Integrable quad-graphs | Pencil of conics | Petrov classification | Quadrirational maps | Yang-Baxter equation | Publisher: | Springer Link |
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