| Abstract | There are many moduli spaces which can be realized as arithmetic quotients of complex balls. The studying of some moduli spaces naturally led to the moduli spaces of weighted points on projective line. Some common examples are the moduli spaces of non- hyperelliptic genus 4 curves, of del Pezzo surfaces, of certain singular plane sextic curves and so on. Deligne and Mostow showed that the moduli spaces of weighted points on projective line can be realized as arithmetic quotients of complex balls by lattices for special weights. In this talk we give two ball quotients descriptions of the moduli space of singular plane sextic curves of certain type and show that the two ball quotients constructions can be unified in a geometric way. This is a joint work with Zhiwei Zheng. |
