13,529 research outputs found
Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces
We prove that a germ of a holomorphic map between and
sending one real-algebraic submanifold into another is algebraic provided contains no complex-analytic discs and
is generic and minimal. We also propose an algorithm for finding
complex-analytic discs in a real submanifold.Comment: 12 pages An algorithm for finding complex-analytic discs in a real
submanifold is adde
Germs of local automorphisms of real-analytic CR structures and analytic dependence on -jets
The topic of the paper is the study of germs of local holomorphisms
between and such that and for
and generic real-analytic CR submanifolds of
arbitrary codimensions. It is proved that for minimal and finitely
nondegenerate, such germs depend analytically on their jets. As a corollary, an
analytic structure on the set of all germs of this type is obtained.Comment: 17 page
On the automorphism groups of algebraic bounded domains
Let be a bounded domain in . By the theorem of H.~Cartan, the group
of all biholomorphic automorphisms of has a unique structure of a
real Lie group such that the action is real analytic.
This structure is defined by the embedding , , where is arbitrary. Here
we restrict our attention to the class of domains defined by finitely many
polynomial inequalities. The appropriate category for studying automorphism of
such domains is the Nash category. Therefore we consider the subgroup
of all algebraic biholomorphic automorphisms which in
many cases coincides with . Assume that and has a boundary
point where the Levi form is non-degenerate. Our main result is theat the group
carries a unique structure of an affine Nash group such that the
action is Nash. This structure is defined by the
embedding and is
independent of the choice of .Comment: 29 pages, LaTeX, Mathematischen Annalen, to appea
Semiclassical spin coherent state method in the weak spin-orbit coupling limit
We apply the semiclassical spin coherent state method for the density of
states by Pletyukhov et al. (2002) in the weak spin-orbit coupling limit and
recover the modulation factor in the semiclassical trace formula found by Bolte
and Keppeler (1998, 1999).Comment: 12 pages including 1 encapsulated figur
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