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Comptes Rendus. Mathématique
Differential geometry
Algebraic intersection for translation surfaces in the stratum (2)
Comptes Rendus. Mathématique, Volume 359 (2021) no. 1, pp. 65-70.

We study a volume related quantity KVol on the stratum (2) of translation surfaces of genus 2, with one conical point. We provide an explicit sequence L(n,n) of surfaces such that KVol(L(n,n))2 when n goes to infinity, 2 being the conjectured infimum for KVol over (2).

Nous étudions une quantité KVol liée au volume sur la strate (2) des surfaces de translation de genre 2, avec une singularité conique. Nous donnons une suite explicite de surfaces L(n,n) telles que KVol(L(n,n))2 quand n tend vers l’infini, 2 étant l’infimum conjectural de KVol sur (2).

Received:
Accepted:
Published online:
DOI: https://doi.org/10.5802/crmath.153
Smail Cheboui 1, 2; Arezki Kessi 2; Daniel Massart 1

1. IMAG, Univ Montpellier, CNRS, Montpellier, France
2. USTHB, Faculté de Mathématiques, Laboratoire de Systèmes Dynamiques, 16111 El-Alia BabEzzouar, Alger, Algérie
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     author = {Smail Cheboui and Arezki Kessi and Daniel Massart},
     title = {Algebraic intersection for translation surfaces in the stratum ${\protect \mathcal{H}(2)}$},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {65--70},
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Smail Cheboui; Arezki Kessi; Daniel Massart. Algebraic intersection for translation surfaces in the stratum ${\protect \mathcal{H}(2)}$. Comptes Rendus. Mathématique, Volume 359 (2021) no. 1, pp. 65-70. doi : 10.5802/crmath.153. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.153/

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