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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 (Sgₖ)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.
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Buser et al. (2024) studied this question.
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