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There are genus one curves violating Hasse principle over every number field.
- Source :
-
Journal of Algebra . Apr2024, Vol. 643, p76-85. 10p. - Publication Year :
- 2024
-
Abstract
- For any number field, we prove that there exists an elliptic curve defined over this field such that its Shafarevich-Tate group has a nontrivial 2-torsion subgroup. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUADRICS
*TORSION theory (Algebra)
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 643
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 175032420
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2023.11.038