Quadratic maps in two variables on arbitrary fields

R. Durán Díaz, L. Hernández Encinas and J. Muñoz Masqué
Carpathian J. Math. 37, 1 (2021), 91–100 (Q1, Mathematics, F.I. 1.438)

Let  F be a field of characteristic different from 2 and 3, and let V be a vector space of dimension 2 over F. The generic classification of homogeneous quadratic maps f  : V → V under the action of the linear group of V , is given and efficient computational criteria to recognize equivalence are provided.

Acknowledgments. This research has been partially supported by Ministerio de Economía, Industria y Competitividad (MINECO), Agencia Estatal de Investigación (AEI), and European Regional Development Fund of the European Union (ERDF, EU) under project COPCIS, reference TIN2017-84844-C2-1-R, and by Comunidad de Madrid (Spain) under project reference P2018/TCS-4566-CM (CYNAMON) also co-funded by ERDF.