Comptes Rendus
Analyse et géométrie complexes
Complete curves in the strata of differentials
Dawei Chen1 
1 Department of Mathematics, Boston College, Chestnut Hill, MA 02467, USA
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 371-373.

Gendron proved that the strata of holomorphic differentials with prescribed orders of zeros do not contain complete algebraic curves by applying the maximum modulus principle to saddle connections. Here we provide an alternative proof for this result by using positivity of divisor classes on moduli spaces of curves.

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DOI : 10.5802/crmath.416
Dawei Chen 1

1 Department of Mathematics, Boston College, Chestnut Hill, MA 02467, USA
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Dawei Chen. Complete curves in the strata of differentials. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 371-373. doi : 10.5802/crmath.416. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.416/

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