Stevell Muller (Universität des Saarlandes) : Finding complete intersections in projective space with prescribed symmetry

In this talk I present an algorithm used to compute defining ideals of certain (smooth) complete intersections fixed under a linear action of a group on their ambient projective space. In particular, this method allows us to get a parametrization of all candidate ideals for each class of linear actions of the given group on the corresponding projective space. I illustrate the use of this algorithm with the case of polarized K3 surfaces of genus 5.