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Resolution of Curve and Surface Singularities : in Characteristic Zero

Author: K Kiyek; J L Vicente
Publisher: Dordrecht : Springer Netherlands : Imprint : Springer, 2004.
Series: Algebras and applications, 4.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book covers the beautiful theory of resolutions of surface singularities in characteristic zero. The primary goal is to present in detail, and for the first time in one volume, two proofs for the existence of such resolutions. One construction was introduced by H.W.E. Jung, and another is due to O. Zariski. Jung's approach uses quasi-ordinary singularities and an explicit study of specific surfaces in affine  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: K Kiyek; J L Vicente
ISBN: 9781402020292 1402020295 9789048165735 9048165733
OCLC Number: 840276545
Description: 1 online resource (XXII, 484 pages).
Contents: From the contents: Preface. Note to the Reader.-Terminology --
I: Valuation Theory --
II: One-Dimensional Semilocal Cohen-Macaulay Rings --
III: Differential Modules and Ramification --
IV: Formal and Convergent Power Series Rings --
V: Quasiordinary Singularities --
VI: The Singularity Zq = XYp --
VII: Two-Dimensional Regular Local Rings --
Appendices --
A: Results from Classical Algebraic Geometry. B: Miscellaneous Results --
Bibliography. Index of Symbols --
Index.
Series Title: Algebras and applications, 4.
Responsibility: by K. Kiyek, J.L. Vicente.

Abstract:

The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. , m}, the genus p of the  Read more...

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From the reviews:"As indicated in the title ... describes different methods of resolution of singularities of curves and surfaces ... . The first seven chapters are dedicated to developing the Read more...

 
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