Inserted in the context of algebraic curves defined over finite fields, which constitutes nowadays a broad area of study and research, especially because of its applications on coding theory and cryptography, the present project aims to investigate some aspects related to these mathematical objects. More precisely, continuing the studies carried out during the candidate's doctorate, here we propose to develop the research comprising the following main topics: 1. Plane sections of Fermat surfaces over finite fields.2. Bounds for the number of Fq-rational points on aX^nY^n-X^n-Y^n+b=0 and the Fq-Frobenius classicality of some related linear series.3. Some properties of the generalized Suzuki curve.
News published in Agência FAPESP Newsletter about the scholarship: