Complex Analytic Desingularization

Rather than a proof of a canonical or algorithmic resolution of singularities, what is presented is in fact a masterly study of the infinitely near “worst” singular points of a complex analytic space obtained by successive “permissible” blowing ups and of the way to tame them using certain subspaces...

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Bibliographic Details
Main Authors: Aroca, José Manuel, Hironaka, Heisuke (Author), Vicente, José Luis (Author)
Format: eBook
Language:English
Published: Tokyo Springer Japan 2018, 2018
Edition:1st ed. 2018
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Prologue
  • 1 Complex-Analytic Spaces and Elements
  • 2 The Weierstrass Preparation Theorem and Its Consequences
  • 3 Maximal Contact
  • 4 Groves and Polygroves
  • 5 The Induction Process
  • Epilogue: Singularities of differential equations
  • Bibliography
  • Index