- Igor
Rostislavovich Shafarevich (Russian: И́горь Ростисла́вович Шафаре́вич; 3 June 1923 – 19
February 2017) was a
Soviet and
Russian mathematician who...
- In
arithmetic geometry, the Tate–
Shafarevich group Ш(A/K) of an
abelian variety A (or more
generally a
group scheme)
defined over a
number field K consists...
- mathematics, the
Shafarevich conjecture,
named for Igor
Shafarevich, may
refer to: The Tate–
Shafarevich conjecture that the Tate–
Shafarevich group is finite...
- In mathematics, the Golod–
Shafarevich theorem was
proved in 1964 by
Evgeny Golod and Igor
Shafarevich. It is a
result in non-commutative
homological algebra...
- In mathematics, the
Shafarevich theorem,
named for Igor
Shafarevich, may
refer to: Néron–Ogg–
Shafarevich criterion Golod–
Shafarevich theorem about class...
- In
algebraic number theory, the
Shafarevich–Weil
theorem relates the
fundamental class of a
Galois extension of
local or
global fields to an extension...
- In mathematics, the Grothendieck–Ogg–
Shafarevich formula describes the
Euler characteristic of a
complete curve with
coefficients in an
abelian variety...
- In mathematics, the Néron–Ogg–
Shafarevich criterion states that if A is an
elliptic curve or
abelian variety over a
local field K and ℓ is a
prime not...
- by Igor
Shafarevich (1954),
though Alexander Schmidt later pointed out a gap in the proof,
which was
fixed by
Shafarevich (1989).
Shafarevich, I. R. (1954)...
-
Shafarevich's finiteness conjecture would imply the
Mordell conjecture,
using what is now
called Parshin's trick. Gerd
Faltings proved Shafarevich's finiteness...
