Si calcola esplicitamente con l'aiuto di un computer l'espressione di ogni germe di biolomorfismo in un punto di una iperquadrica reale in , che porti in . Tale germe risulta ovviamente una trasformazione lineare fratta, che lascia invariante.
@article{BUMI_1999_8_2B_3_663_0, author = {G. Dini and A. Selvaggi Primicerio}, title = {Localization of biholomorphisms for real hyperquadrics in $\mathbb{C}^{3}$: a computational approach}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {2-A}, year = {1999}, pages = {663-672}, zbl = {0939.32031}, mrnumber = {1719538}, language = {en}, url = {http://dml.mathdoc.fr/item/BUMI_1999_8_2B_3_663_0} }
Dini, G.; Selvaggi Primicerio, A. Localization of biholomorphisms for real hyperquadrics in $\mathbb{C}^{3}$: a computational approach. Bollettino dell'Unione Matematica Italiana, Tome 2-A (1999) pp. 663-672. http://gdmltest.u-ga.fr/item/BUMI_1999_8_2B_3_663_0/
[1] Iteration theory of holomorphic maps on taut manifolds. Research and Lecture, Notes in Mathematics, Mediterranean Press (1989). | MR 1098711 | Zbl 0747.32002
,[2] Holomorphic mappings from the ball and polydisc., Math. Ann., 209 (1974), 249-257. | MR 352531 | Zbl 0272.32006
,[3] 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] 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. | Zbl 0005.37401
,[5] Real hypersurfaces in complex manifolds, Acta Math., 133 (1974), 219-271. | MR 425155 | Zbl 0302.32015
- ,[6] Localization principle of automorphisms on generalized pseudoellipsoids, to appear on J. Geom. Anal. | MR 1669231 | Zbl 0943.32006
- ,[7] Localization principle for a class of Reinhardt domains, Seminari di Geometria 1994-1995, Bologna (1996), 117-127. | MR 1385722 | Zbl 0849.32001
- ,[8] On the analytic continuation of holomorphic mappings, Math. USSR Sb., 27 (1975), 375-392. | Zbl 0366.32010
,[9] On holomorphic mappings of real analytic hypersurfaces, Math. USSR Sb., 34 (1978), 503-519. | MR 496595 | Zbl 0438.32009
,[10] Les fonctions analytiques de deux variables et la representation conforme, Rend. Circ. Mat. Palermo, 23 (1907), 185-220.
,[11] On the pseudo-conformal geometry of hypersurfaces of the space of complex variables, J. Math. Soc. Japan, 14 (1962), 397-429. | MR 145555 | Zbl 0113.06303
,[12] On the mapping problem for real algebraic hypersurfaces, Inv. Math., 43 (1977), 53-68. | MR 463482 | Zbl 0348.32005
,[13] On the automorphism group of algebraic bounded domain, Math. Ann., 302 (1995), 105-129. | MR 1329449 | Zbl 0823.14005
,