- In mathematics, a
holomorphic function is a complex-valued
function of one or more
complex variables that is
complex differentiable in a neighbourhood...
-
under the name
holomorphically symplectic manifolds. The
holonomy group of any Calabi–Yau
metric on a
simply connected compact holomorphically symplectic...
-
particularly concerned with
analytic functions of a
complex variable, that is,
holomorphic functions. The
concept can be
extended to
functions of
several complex...
-
polynomially convex hull
contains the
holomorphically convex hull. The
domain G {\displaystyle G} is
called holomorphically convex if for
every compact subset...
- π : E → X is
holomorphic.
Fundamental examples are the
holomorphic tangent bundle of a
complex manifold, and its dual, the
holomorphic cotangent bundle...
- } {\displaystyle U\setminus \{a\}} . We say f {\displaystyle f} is
holomorphically extendable over U {\displaystyle U} if such a g {\displaystyle g} exists...
- ^{n}} are
holomorphically separable, in particular, all
domains in C n {\displaystyle \mathbb {C} ^{n}} and all
Stein manifolds. A
holomorphically separable...
-
every point p {\displaystyle p} of X {\displaystyle X} ,
there is a
holomorphic coordinate chart around p {\displaystyle p} in
which the
metric agrees...
-
algebraic geometry, a
formal holomorphic function along a
subvariety V of an
algebraic variety W is an
algebraic analog of a
holomorphic function defined in a...
- line
integrals for
holomorphic functions in the
complex plane. Essentially, it says that if f ( z ) {\displaystyle f(z)} is
holomorphic in a
simply connected...
