Speaker: Yusuke Yoshida

Title: Invariant plane curves under the alternating group A_6

Abstract:
Recently, a classification of automorphism groups of smooth complex projective plane curves
was given by Harui.
We consider the following problem: For a group G in the classification,
for which does there exist an irreducible curve of degree d whose automorphism group is isomorphic to G ?
We obtained the answer in the case G is the alternating group A_6.
The next step would be to study the invariant curves in each degree.
In this talk, we state the neccesary and sufficient condition on d
for an A_6-invariant irreducible curve of degree d to exist,
and give a description of the singular invariant curves of degree 12.