Lower bound for KVol on the minimal stratum of translation surfaces
Une borne inférieure pour KVol sur la strate minimale de l'espace des modules des surfaces de translation.
Résumé
In this paper we are interested in algebraic intersection of closed curves of a given length on translation surfaces. We study the quantity KVol, dened in [6] and studied in [6, 7, 2, 3], and we construct families of translation surfaces in each connected component of the minimal stratum H(2g − 2) of the moduli space of translation surfaces of genus g ≥ 2 such that KVol is arbitrarily close to the genus of the surface, which is conjectured to be the inmum of KVol on H(2g − 2).
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