[Intersection algébrique dans la strate des surfaces de translation]
Nous étudions une quantité liée au volume sur la strate des surfaces de translation de genre , avec une singularité conique. Nous donnons une suite explicite de surfaces telles que quand n tend vers l’infini, étant l’infimum conjectural de sur .
We study a volume related quantity on the stratum of translation surfaces of genus , with one conical point. We provide an explicit sequence of surfaces such that when n goes to infinity, being the conjectured infimum for over .
Accepté le :
Publié le :
Smail Cheboui 1, 2 ; Arezki Kessi 2 ; Daniel Massart 1
@article{CRMATH_2021__359_1_65_0, 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}, publisher = {Acad\'emie des sciences, Paris}, volume = {359}, number = {1}, year = {2021}, doi = {10.5802/crmath.153}, language = {en}, }
TY - JOUR AU - Smail Cheboui AU - Arezki Kessi AU - Daniel Massart TI - Algebraic intersection for translation surfaces in the stratum ${\protect \mathcal{H}(2)}$ JO - Comptes Rendus. Mathématique PY - 2021 SP - 65 EP - 70 VL - 359 IS - 1 PB - Académie des sciences, Paris DO - 10.5802/crmath.153 LA - en ID - CRMATH_2021__359_1_65_0 ER -
%0 Journal Article %A Smail Cheboui %A Arezki Kessi %A Daniel Massart %T Algebraic intersection for translation surfaces in the stratum ${\protect \mathcal{H}(2)}$ %J Comptes Rendus. Mathématique %D 2021 %P 65-70 %V 359 %N 1 %I Académie des sciences, Paris %R 10.5802/crmath.153 %G en %F CRMATH_2021__359_1_65_0
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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