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September 24, 2025Open Access

Galois cohomology of elliptic curves over anticyclotomic extensions

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The study demonstrates a comprehensive view of galois cohomology for elliptic curves over anticyclotomic extensions.
Findings include the analysis of the dual selmer group, which is critical in understanding elliptic curve behavior.
Iwasawa theory is employed to explore the relationships within the anticyclotomic z_p-extension framework.
New insights into elliptic curves over imaginary quadratic fields provide a robust foundation for future research.

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Analysis reveals Galois cohomology insights for elliptic curves over anticyclotomic extensions, indicating new theoretical developments.

Nguyen et al. (2025) studied this question.

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