On smooth plane models for modular curves of Shimura type
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s40993-022-00409-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7626 |
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oai:localhost:PNK-76262023-04-06T03:50:14Z On smooth plane models for modular curves of Shimura type Samuele, Anni Eran, Assaf Elisa Lorenzo, García Shimura type many modular curve CC BY In this paper we prove that there are finitely many modular curves that admit a smooth plane model. Moreover, if the degree of the model is greater than or equal to 19, no such curve exists. For modular curves of Shimura type we show that none can admit a smooth plane model of degree 5, 6 or 7. Further, if a modular curve of Shimura type admits a smooth plane model of degree 8 we show that it must be a twist of one of four curves. 2023-04-06T03:50:14Z 2023-04-06T03:50:14Z 2023 Book https://link.springer.com/article/10.1007/s40993-022-00409-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7626 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
Shimura type many modular curve |
| spellingShingle |
Shimura type many modular curve Samuele, Anni Eran, Assaf Elisa Lorenzo, García On smooth plane models for modular curves of Shimura type |
| description |
CC BY |
| format |
Book |
| author |
Samuele, Anni Eran, Assaf Elisa Lorenzo, García |
| author_facet |
Samuele, Anni Eran, Assaf Elisa Lorenzo, García |
| author_sort |
Samuele, Anni |
| title |
On smooth plane models for modular curves of Shimura type |
| title_short |
On smooth plane models for modular curves of Shimura type |
| title_full |
On smooth plane models for modular curves of Shimura type |
| title_fullStr |
On smooth plane models for modular curves of Shimura type |
| title_full_unstemmed |
On smooth plane models for modular curves of Shimura type |
| title_sort |
on smooth plane models for modular curves of shimura type |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s40993-022-00409-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7626 |
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1762456092907929600 |
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8.89252 |