Complete curves in the strata of differentials
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...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-01-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.416/ |
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| author | Chen, Dawei |
| author_facet | Chen, Dawei |
| author_sort | Chen, Dawei |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-2b421d28c0d647ae8340f6c69029e909 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-2b421d28c0d647ae8340f6c69029e9092025-02-07T11:06:07ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-01-01361G137137310.5802/crmath.41610.5802/crmath.416Complete curves in the strata of differentialsChen, Dawei0Department of Mathematics, Boston College, Chestnut Hill, MA 02467, USAGendron 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.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.416/ |
| spellingShingle | Chen, Dawei Complete curves in the strata of differentials Comptes Rendus. Mathématique |
| title | Complete curves in the strata of differentials |
| title_full | Complete curves in the strata of differentials |
| title_fullStr | Complete curves in the strata of differentials |
| title_full_unstemmed | Complete curves in the strata of differentials |
| title_short | Complete curves in the strata of differentials |
| title_sort | complete curves in the strata of differentials |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.416/ |
| work_keys_str_mv | AT chendawei completecurvesinthestrataofdifferentials |