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On smooth plane models for modular curves of Shimura type

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Bibliographic Details
Main Authors: Samuele, Anni, Eran, Assaf, Elisa Lorenzo, García
Format: Book
Language:English
Published: Springer 2023
Subjects:
Shimura type
many modular curve
Online Access:https://link.springer.com/article/10.1007/s40993-022-00409-7
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7626
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spelling 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
_version_ 1762456092907929600
score 8.887836

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