-
dynamical systems,
while local arithmetic dynamics, also
called p-adic or
nonarchimedean dynamics, is an
analogue of
complex dynamics in
which one
replaces the...
- In
abstract algebra and analysis, the
Archimedean property,
named after the
ancient Gr****
mathematician Archimedes of Syracuse, is a
property held by some...
-
rigid analytic space is an
analogue of a
complex analytic space over a
nonarchimedean field. Such
spaces were
introduced by John Tate in 1962, as an outgrowth...
- field. Let L / K {\displaystyle L/K} be a
finite Galois extension of
nonarchimedean local fields with
finite residue fields ℓ / k {\displaystyle \ell /k}...
-
Arithmetic deformation theory via
arithmetic fundamental groups and
nonarchimedean theta functions,
notes on the work of
Shinichi Mochizuki by Ivan Fesenko...
-
Rigid analytic space – An
analogue of a
complex analytic space over a
nonarchimedean field Hartshorne 1977, p. 439.
Grothendieck &
Raynaud (2002) (SGA 1...
-
Arithmetic deformation theory via
arithmetic fundamental groups and
nonarchimedean theta functions,
notes on the work of
Shinichi Mochizuki, Eur. J. Math...
- 2 (a
special case of the
theorem of Frobenius). Finally, if k is a
nonarchimedean local field (for example, Q p {\displaystyle \mathbb {Q} _{p}} )...
-
Arithmetic deformation theory via
arithmetic fundamental groups and
nonarchimedean theta functions,
notes on the work of
Shinichi Mochizuki.
Yuichiro Hoshi...
- of
Abraham Robinson, and
later a co-author with
Robinson of the book
Nonarchimedean Fields and
Asymptotic Expansions.
Lightstone earned his PhD from the...