no. 1
Géométrie différentielle
Algebraic intersection for translation surfaces in the stratum ℋ(2)
[Intersection algébrique dans la strate ℋ(2) des surfaces de translation]
Cheboui, Smail1, 2 ; Kessi, Arezki1 ; Massart, Daniel2 
1 USTHB, Faculté de Mathématiques, Laboratoire de Systèmes Dynamiques, 16111 El-Alia BabEzzouar, Alger, Algérie
2 IMAG, Univ Montpellier, CNRS, Montpellier, France
Comptes Rendus. Mathématique, Tome 359 (2021) no. 1, pp. 65-70.

Nous étudions une quantité KVol liée au volume sur la strate ℋ(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 ℋ(2).

We study a volume related quantity KVol on the stratum ℋ(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 ℋ(2).

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.153
Cheboui, Smail 1, 2 ; Kessi, Arezki 1 ; Massart, Daniel 2

1 USTHB, Faculté de Mathématiques, Laboratoire de Systèmes Dynamiques, 16111 El-Alia BabEzzouar, Alger, Algérie
2 IMAG, Univ Montpellier, CNRS, Montpellier, France 
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     title = {Algebraic intersection for translation surfaces in the stratum ${\protect \mathcal{H}(2)}$},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {65--70},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
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Cheboui, Smail; Kessi, Arezki; Massart, Daniel. Algebraic intersection for translation surfaces in the stratum ${\protect \mathcal{H}(2)}$. Comptes Rendus. Mathématique, Tome 359 (2021) no. 1, pp. 65-70. doi : 10.5802/crmath.153. http://www.numdam.org/articles/10.5802/crmath.153/

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