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Boundary jets of holomorphic maps between strongly pseudoconvex domains |
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| Authors: | Filippo Bracci Dmitri Zaitsev |
| Institution: | a Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, 00133 Roma, Italy b School of Mathematics, Trinity College Dublin, Dublin 2, Ireland |
| Abstract: | In this paper we consider jets taken at a fixed boundary point of germs of holomorphic diffeomorphisms which send one strongly pseudoconvex domain into another. We completely describe possible first and second jets and conditions of extremality in terms of the Chern-Moser normal forms of the domains. |
| Keywords: | Chern-Moser normal forms Jets of holomorphic diffeomorphisms Self-maps of strongly pseudoconvex domains Extremality of maps |
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