- In
algebraic geometry, a
semistable abelian variety is an
abelian variety defined over a
global or
local field,
which is
characterized by how it reduces...
- Theorem, by way of
proving the
modularity theorem for the
special case of
semistable elliptic curves,
established powerful modularity lifting techniques and...
-
semistable if and only if
there is no 1-parameter
subgroup of G all of
whose weights with
respect to x are positive. A non-zero
point x is
semistable...
- Fermat's Last Theorem,
Wiles set out to
prove the
modularity theorem for
semistable elliptic curves,
which implied Fermat's Last Theorem. By 1993, he had...
- In
algebraic geometry,
semistable reduction theorems state that,
given a
proper flat
morphism of
schemes X → S {\displaystyle X\to S} ,
there exists a...
- the
types of
elliptical curves that
included Frey's
equation (known as
semistable elliptic curves). This was
widely believed inaccessible to
proof by contemporary...
-
chain of
implications holds: E is μ-stable ⇒ E is
stable ⇒ E is
semistable ⇒ E is μ-
semistable. Let E be a
vector bundle over a
smooth projective curve X....
- way.
Andrew Wiles and
Richard Taylor proved the
modularity theorem for
semistable elliptic curves,
which was
enough to
imply Fermat's Last Theorem. Later...
- When a gap was
found in the 1993
attempt by
Andrew Wiles to
prove the
semistable case of the Taniyama-Shimura
conjecture for
elliptic curves,
Wiles asked...
-
algebraic geometry, a log
structure provides an
abstract context to
study semistable schemes, and in
particular the
notion of
logarithmic differential form...
