Stability of tri-canonical curves of genus 2
by
Yongnam Lee
Department of Mathematics, Sogang University, Sinsu-dong, Mapo-gu, Seoul 121-742, Korea
Coauthors: Donghoon Hyeon

In this talk, we prove that pseudo-stable curves with cusps are indeed Chow semistable in two different ways: one uses degeneration arguments and the other considers invariant theory of the Chow form itself directly. As a by-product, we completely classify the strictly semistable points in the moduli space.