The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Displaying 441 –
460 of
608
Let be a connected complex Lie group, a closed, complex subgroup of and
. Let be the radical and a maximal semisimple subgroup of . Attempts
to construct examples of noncompact manifolds homogeneous under a nontrivial
semidirect product with a not necessarily -invariant Kähler metric
motivated this paper. The -orbit in is Kähler. Thus is an
algebraic subgroup of [4]. The Kähler assumption on ought to imply the -action
on the base of any homogeneous fibration is algebraic...
The paper gives sufficient conditions for projections of certain pseudoconcave sets to be open. More specifically, it is shown that the range of an analytic set-valued function whose values are simply connected planar continua is open, provided there does not exist a point which belongs to boundaries of all the fibers. The main tool is a theorem on existence of analytic discs in certain polynomially convex hulls, obtained earlier by the author.
We prove that every set definable in the structure can be decomposed into finitely many connected analytic manifolds each of which is also definable in this structure.
Let be a Banach space with a countable unconditional basis (e.g., ),
an open set and complex-valued holomorphic functions
on , such that the Fréchet differentials are linearly
independant over at each . We suppose that
is a complete intersection and we consider a
holomorphic Banach vector bundle . If (resp.) denote the ideal of
germs of holomorphic functions on that vanish on (resp. the sheaf of germs
of holomorphic sections of ), then the sheaf cohomology groups ,
vanish...
For functions that are separately solutions of an elliptic homogeneous PDE with constant coefficients, we prove an analogue of Siciak's theorem for separately holomorphic functions.
Currently displaying 441 –
460 of
608