Localization of biholomorphisms for real hyperquadrics in C 3 : a computational approach

G. Dini; A. Selvaggi Primicerio

Bollettino dell'Unione Matematica Italiana (1999)

  • Volume: 2-B, Issue: 3, page 663-672
  • ISSN: 0392-4041

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Dini, G., and Selvaggi Primicerio, A.. "Localization of biholomorphisms for real hyperquadrics in $\mathbb{C}^{3}$: a computational approach." Bollettino dell'Unione Matematica Italiana 2-B.3 (1999): 663-672. <http://eudml.org/doc/195563>.

@article{Dini1999,
author = {Dini, G., Selvaggi Primicerio, A.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {germ of biholomorphic map; local biholomorphism; hyperquadratic; linear rational transformation},
language = {eng},
month = {10},
number = {3},
pages = {663-672},
publisher = {Unione Matematica Italiana},
title = {Localization of biholomorphisms for real hyperquadrics in $\mathbb\{C\}^\{3\}$: a computational approach},
url = {http://eudml.org/doc/195563},
volume = {2-B},
year = {1999},
}

TY - JOUR
AU - Dini, G.
AU - Selvaggi Primicerio, A.
TI - Localization of biholomorphisms for real hyperquadrics in $\mathbb{C}^{3}$: a computational approach
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/10//
PB - Unione Matematica Italiana
VL - 2-B
IS - 3
SP - 663
EP - 672
LA - eng
KW - germ of biholomorphic map; local biholomorphism; hyperquadratic; linear rational transformation
UR - http://eudml.org/doc/195563
ER -

References

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  2. ALEXANDER, H., Holomorphic mappings from the ball and polydisc., Math. Ann., 209 (1974), 249-257. Zbl0272.32006MR352531
  3. BURNS, D.- SHNIDER, S., Real hypersurfaces in complex manifolds, Several complex variables, Proc. Sympos. Pure Math. Vol, 30, Amer. Math. Soc., Providence, RI (1977), 141-168. Zbl0422.32016MR450603
  4. CARTAN, E., 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. Zbl0005.37401
  5. CHERN, S. S.- MOSER, J. K., Real hypersurfaces in complex manifolds, Acta Math., 133 (1974), 219-271. Zbl0302.32015MR425155
  6. DINI, G.- SELVAGGI PRIMICERIO, A., Localization principle of automorphisms on generalized pseudoellipsoids, to appear on J. Geom. Anal. Zbl0943.32006MR1669231
  7. DINI, G.- SELVAGGI PRIMICERIO, A., Localization principle for a class of Reinhardt domains, Seminari di Geometria 1994-1995, Bologna (1996), 117-127. Zbl0849.32001MR1385722
  8. PINCHUK, S., On the analytic continuation of holomorphic mappings, Math. USSR Sb., 27 (1975), 375-392. Zbl0366.32010
  9. PINCHUK, S., On holomorphic mappings of real analytic hypersurfaces, Math. USSR Sb., 34 (1978), 503-519. Zbl0438.32009MR496595
  10. POINCARÉ, H., Les fonctions analytiques de deux variables et la representation conforme, Rend. Circ. Mat. Palermo, 23 (1907), 185-220. 
  11. TANAKA, N. J., On the pseudo-conformal geometry of hypersurfaces of the space of n complex variables, J. Math. Soc. Japan, 14 (1962), 397-429. Zbl0113.06303MR145555
  12. WEBSTER, S. M., On the mapping problem for real algebraic hypersurfaces, Inv. Math., 43 (1977), 53-68. Zbl0348.32005MR463482
  13. ZAITSEV, D., On the automorphism group of algebraic bounded domain, Math. Ann., 302 (1995), 105-129. Zbl0823.14005MR1329449

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