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Enumerating odd-degree hyperelliptic curves and abelian surfaces over P1

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Main Authors: Changho, Han, Jun-Yong, Park
Format: Book
Language:English
Published: Springer 2023
Subjects:
odd-degree hyperelliptic
moduli functors
Online Access:https://link.springer.com/article/10.1007/s00209-023-03260-3
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7467
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spelling oai:localhost:PNK-74672023-04-04T02:21:22Z Enumerating odd-degree hyperelliptic curves and abelian surfaces over P1 Changho, Han Jun-Yong, Park odd-degree hyperelliptic moduli functors CC BY As explained therein by Venkatesh, in many interesting number theory problems (e.g., counting number fields, arithmetic curves or abelian varieties over a number field) one has not only a main term in the asymptotic count, but a secondary term or more. We have very little understanding of these lower order terms. They are not just of theoretical interest: when one tries to verify the conjectures numerically, one finds that the secondary terms are dominant in the computational range. For example, the number of cubic number fields of height ≤B for certain constants a,b>0 is aB+bB5/6+o(B56). 2023-04-04T02:21:22Z 2023-04-04T02:21:22Z 2023 Book https://link.springer.com/article/10.1007/s00209-023-03260-3 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7467 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic odd-degree hyperelliptic
moduli functors
spellingShingle odd-degree hyperelliptic
moduli functors
Changho, Han
Jun-Yong, Park
Enumerating odd-degree hyperelliptic curves and abelian surfaces over P1
description CC BY
format Book
author Changho, Han
Jun-Yong, Park
author_facet Changho, Han
Jun-Yong, Park
author_sort Changho, Han
title Enumerating odd-degree hyperelliptic curves and abelian surfaces over P1
title_short Enumerating odd-degree hyperelliptic curves and abelian surfaces over P1
title_full Enumerating odd-degree hyperelliptic curves and abelian surfaces over P1
title_fullStr Enumerating odd-degree hyperelliptic curves and abelian surfaces over P1
title_full_unstemmed Enumerating odd-degree hyperelliptic curves and abelian surfaces over P1
title_sort enumerating odd-degree hyperelliptic curves and abelian surfaces over p1
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00209-023-03260-3
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7467
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score 8.887836

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