Complex Analytic Desingularization

• Main Authors: Aroca, José Manuel (Author, http://id.loc.gov/vocabulary/relators/aut), Hironaka, Heisuke (http://id.loc.gov/vocabulary/relators/aut), Vicente, José Luis (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Tokyo : Springer Japan : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Subjects: Algebraic geometry.; Algebraic Geometry.

[From the foreword by B. Teissier] The main ideas of the proof of resolution of singularities of complex-analytic spaces presented here were developed by Heisuke Hironaka in the late 1960s and early 1970s. Since then, a number of proofs, all inspired by Hironaka's general approach, have appeare...

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.