Shafarevich theorem

In mathematics, the Shafarevich theorem, named for Igor Shafarevich, may refer to:


 * Néron–Ogg–Shafarevich criterion
 * Golod–Shafarevich theorem about class field towers
 * Grothendieck–Ogg–Shafarevich formula
 * Shafarevich's theorem on solvable Galois groups
 * Shafarevich–Weil theorem about the fundamental class in class field theory
 * Shafarevich's theorem on elliptic curves with good reduction outside a given set.