Structure of a neighbourhood of a complex compact submanifold in a complex manifold
Roman Dwilewicz
GDML_Books, (1983), p.

CONTENTSIntroduction...................................................................................................................................................................51. Notation and some definitions...................................................................................................................................6  (a) Analytic families.....................................................................................................................................................6  (b) Coordinate neighbourhoods and the normal bundle of a submanifold..................................................................7  (c) A characteristic system for an analytic family.........................................................................................................9  (d) Mutual positions of submanifolds.........................................................................................................................102. Sufficient conditions for triviality of the normal bundle.............................................................................................11  (a) Formulations of the conditions.............................................................................................................................11  (b) Connection of condition (**)[Ui] with the normal bundle.............................................................................12  (c) Construction and some properties of functions fi...........................................................................................14  (d) Proof of triviality of the normal bundle.................................................................................................................16  (e) Formulation of the results of Section 2................................................................................................................193. A maximum principle for 0-cochains of holomorphic functions on a connected compact complex manifold.............204. Construction of an analytic family............................................................................................................................21  (a) Formulation of the main theorem.........................................................................................................................21  (b) Construction of first coefficients of formal power series.......................................................................................23  (c) Some lemmas......................................................................................................................................................25  (d) The induction step - construction of the coefficients φi|ν+1........................................................................28  (e) Proof of the convergence of the formal power series..........................................................................................31  (0 Proof of the main theorem....................................................................................................................................33Appendix....... .............................................................................................................................................................36  (a) Formulation of sufficient conditions for the convergence of formal power series.................................................36  (b) Some estimates...................................................................................................................................................38  (c) Proof of Proposition A.1.......................................................................................................................................42References.................................................................................................................................................................44

EUDML-ID : urn:eudml:doc:268648 
@book{bwmeta1.element.zamlynska-2ba5e71c-cfcd-4625-b7a2-3b5915a2c10e,
     author = {Roman Dwilewicz},
     title = {Structure of a neighbourhood of a complex compact submanifold in a complex manifold},
     series = {GDML\_Books},
     publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
     address = {Warszawa},
     year = {1983},
     zbl = {0573.32029},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-2ba5e71c-cfcd-4625-b7a2-3b5915a2c10e}
}

Roman Dwilewicz. Structure of a neighbourhood of a complex compact submanifold in a complex manifold. GDML_Books (1983),  http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-2ba5e71c-cfcd-4625-b7a2-3b5915a2c10e/