Enumerating odd-degree hyperelliptic curves and abelian surfaces over P1
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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/s00209-023-03260-3 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7467 |
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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 |
| _version_ |
1762274897263853568 |
| score |
8.887836 |