Shafarevich conjecture
In mathematics, the Shafarevich conjecture, named for Igor Shafarevich, may refer to:
- The Tate–Shafarevich conjecture that the Tate–Shafarevich group is finite
- The Shafarevich conjecture that there are only finitely many isomorphism classes of abelian varieties of fixed dimension and fixed polarization degree over a fixed number field with good reduction outside a given finite set of places, now proved as Faltings's theorem
- The conjecture that the absolute Galois group of the maximal abelian extension of the rational numbers is a free profinite group of countable rank
![Disambiguation icon](http://upload.wikimedia.org/wikipedia/en/thumb/5/5f/Disambig_gray.svg/30px-Disambig_gray.svg.png)
Topics referred to by the same term
This disambiguation page lists mathematics articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.