Dini, G. and Selvaggi Primicerio, A.:
Localization of biholomorphisms for real hyperquadrics in $\mathbb{C}^{3}$: a computational approach
Bollettino dell'Unione Matematica Italiana Serie 8 2-B (1999), fasc. n.3, p. 663-672, Unione Matematica Italiana (English)
pdf (255 Kb), djvu (118 Kb). | MR1719538 | Zbl 0939.32031
Sunto
Si calcola esplicitamente con l'aiuto di un computer l'espressione di ogni germe di biolomorfismo in un punto di una iperquadrica reale $Q$ in $\mathbb{C}^{3}$, che porti $Q$ in $Q$. Tale germe risulta ovviamente una trasformazione lineare fratta, che lascia $Q$ invariante.
Referenze Bibliografiche
[1]
M.
ABATE
,
Iteration theory of holomorphic maps on taut manifolds.
Research and Lecture, Notes in Mathematics,
Mediterranean Press (
1989). |
MR 1098711 |
Zbl 0747.32002[2]
H.
ALEXANDER
,
Holomorphic mappings from the ball and polydisc.,
Math. Ann.,
209 (
1974), 249-257. |
MR 352531 |
Zbl 0272.32006[3]
D.
BURNS
-
S.
SHNIDER
,
Real hypersurfaces in complex manifolds,
Several complex variables,
Proc. Sympos. Pure Math. Vol,
30, Amer. Math. Soc., Providence, RI (
1977), 141-168. |
MR 450603 |
Zbl 0422.32016[4]
E.
CARTAN
,
Sur la geometrie pseudo-conforme des hypersurfaces de deux variables complexes. I.
Ann. Mat. Pura Appl., 4 (
1932), 17-90;
II.
Ann. Scuola Norm. Sup. Pisa, 2 (
1932), 333-354. |
fulltext mini-dml |
Zbl 0005.37401[5]
S. S.
CHERN
-
J. K.
MOSER
,
Real hypersurfaces in complex manifolds,
Acta Math.,
133 (
1974), 219-271. |
MR 425155 |
Zbl 0302.32015[6]
G.
DINI
-
A.
SELVAGGI PRIMICERIO
,
Localization principle of automorphisms on generalized pseudoellipsoids, to appear on
J. Geom. Anal.
|
MR 1669231 |
Zbl 0943.32006[7]
G.
DINI
-
A.
SELVAGGI PRIMICERIO
,
Localization principle for a class of Reinhardt domains,
Seminari di Geometria 1994-1995, Bologna (
1996), 117-127. |
MR 1385722 |
Zbl 0849.32001[8]
S.
PINCHUK
,
On the analytic continuation of holomorphic mappings,
Math. USSR Sb.,
27 (
1975), 375-392. |
Zbl 0366.32010[9]
S.
PINCHUK
,
On holomorphic mappings of real analytic hypersurfaces,
Math. USSR Sb.,
34 (
1978), 503-519. |
MR 496595 |
Zbl 0438.32009[10]
H.
POINCARÉ
, Les fonctions analytiques de deux variables et la representation conforme, Rend. Circ. Mat. Palermo, 23 (1907), 185-220.
[12]
S. M.
WEBSTER
,
On the mapping problem for real algebraic hypersurfaces,
Inv. Math.,
43 (
1977), 53-68. |
MR 463482 |
Zbl 0348.32005[13]
D.
ZAITSEV
,
On the automorphism group of algebraic bounded domain,
Math. Ann.,
302 (
1995), 105-129. |
MR 1329449 |
Zbl 0823.14005