Key points are not available for this paper at this time.
In this paper we continue to investigate the systolic landscape of translation surfaces started in CHMW. We show that there is an infinite sequence of surfaces (S₆䂵) ₖ of genus gₖ, where gₖ with large systoles. On the other hand we show that for hyperelliptic surfaces we can find a suitable homology basis, where a large number of loops that induce the basis are short.
Buser et al. (Thu,) studied this question.