Książka - szczegóły

CONTENTS
Introduction...................................................................................................................................................................5
1. 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.........................................................................................................................10
2. Sufficient conditions for triviality of the normal bundle.............................................................................................11
  (a) Formulations of the conditions.............................................................................................................................11
  (b) Connection of condition $(**)_{[U_i]}$ with the normal bundle.............................................................................12
  (c) Construction and some properties of functions $f_i$...........................................................................................14
  (d) Proof of triviality of the normal bundle.................................................................................................................16
  (e) Formulation of the results of Section 2................................................................................................................19
3. A maximum principle for 0-cochains of holomorphic functions on a connected compact complex manifold.............20
4. 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 $φ_{i|ν+1}$........................................................................28
  (e) Proof of the convergence of the formal power series..........................................................................................31
  (0 Proof of the main theorem....................................................................................................................................33
Appendix....... .............................................................................................................................................................36
  (a) Formulation of sufficient conditions for the convergence of formal power series.................................................36
  (b) Some estimates...................................................................................................................................................38
  (c) Proof of Proposition A.1.......................................................................................................................................42
References.................................................................................................................................................................44