Algebraic intersection for translation surfaces in the stratum ${\protect \mathcal{H}(2)}$

We study a volume related quantity $\mathrm{KVol}$ on the stratum ${\mathcal{H}(2)}$ of translation surfaces of genus $2$, with one conical point. We provide an explicit sequence $L(n, n)$ of surfaces such that $\mathrm{KVol}(L(n, n)) \rightarrow 2$ when n goes to infinity, $2$ being the conjectured...

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Bibliographic Details
Main Authors: Cheboui, Smail, Kessi, Arezki, Massart, Daniel
Format: Article
Language:English
Published: Académie des sciences 2021-02-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.153/