Saito basis for plane cusps

par David Senovilla Sanz (Universidad de Cantabria)

vendredi 22 nov. 2024, 10:30 → 11:30 Europe/Paris

207 (Bat 1R2)

Consider C a plane complex curve. The module of holomorphic 1-forms and with C invariant is free of rank two. Any basis is called a Saito basis. In this talk we present a method to compute a Saito basis when the curve C is a branch with a single Puiseux pair. Moreover, we show how to obtain some analytic data of C by means of different Saito bases.