What type of study is this?

This is a Quantitative Study study.

October 1, 2025Open Access

Selmer stability for elliptic curves in Galois -extensions

View Full Paper

Ask AI

Bookmark

Infinitely many Galois extensions exist where the Selmer group vanishes for elliptic curves.
The number of fields with a specific Galois group grows significantly, bounded by a formula involving discriminants.
This study achieves an asymptotic count that corresponds to a conjectured distribution of Galois extensions.
The results show that Selmer stability occurs frequently, contradicting the expectation of scarcity.

No takes yet. Share an insight, caveat, or question.

Analysis shows infinitely many Galois extensions with vanishing Selmer groups in elliptic curves, indicating stability.

Pathak et al. (2025) studied this question.

View Full Paper

Ask AI

Bookmark