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The polynomial method in Galois geometries Ball, Simeon Michael Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de cossos i polinomis Algebra Polynomials Àlgebra abstracta Galois, Teoria de The polynomial method refers to the application of polynomials to combinatorial problems. The method is particularly effective for Galois geometries and a number of problems and conjectures have been solved using the polynomial method. In many cases the polynomial approach is the only method which we know of that works. In this article, the various polynomial techniques that have been applied to Galois geometries are detailed and, to demonstrate how to apply these techniques, some of the problems referred to above are resolved. Postprint (published version) 2012 Part of book or chapter of book Ball, S. The polynomial method in Galois geometries. A: "Current research topics in Galois geometry". Nova Science Publishers, 2012, p. 105-130. 978-1-61209-523-3 https://hdl.handle.net/2117/18846 eng https://www.novapublishers.com/catalog/product_info.php?products_id=21439 http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Restricted access - publisher's policy Attribution-NonCommercial-NoDerivs 3.0 Spain 26 p. application/pdf Nova Science Publishers