| Autor: |
Prasad, Dipendra, Shekhar, Sudhanshu |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
Pacific J. Math. 312 (2021) 203-218 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.2140/pjm.2021.312.203 |
| Popis: |
The paper formulates a precise relationship between the Tate-Shafarevich group of an elliptic curve $E$ over ${\mathbb Q}$ with a quotient of the classgroup of ${\mathbb Q}(E[p])$ on which $Gal({\mathbb Q}(E[p]/{\mathbb Q}) = GL_2({\mathbb Z}/p)$ operates by its standard 2 dimensional representation over ${\mathbb Z}/p$. We establish such a relationship in most cases. |
| Databáze: |
arXiv |
| Externí odkaz: |
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