Isolated Singular Points on Complete Intersections

E. J. N. Looijenga

doi:10.1017/CBO9780511662720

Singularity theory is not a field in itself, but rather an application of algebraic geometry, analytic geometry and differential analysis. The adjective 'singular' in the title refers here to singular points of complex-analytic or algebraic varieties or mappings. A tractable (and very natural) class of singularities to study are the isolated complete intersection singularities, and much progress has been made over the past decade in understanding these and their deformations.

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Isolated Singular Points on Complete Intersections

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Contents

Frontmatter
pp i-vi

Contents
pp vii-viii

INTRODUCTION
pp ix-xii

CHAPTER 1 - EXAMPLES OF ISOLATED SINGULAR POINTS
pp 1-20

CHAPTER 2 - THE MILNOR FIBRATION
pp 21-34

CHAPTER 3 - PICARD-LEFSCHETZ FORMULAS
pp 35-43

CHAPTER 4 - CRITICAL SPACE AND DISCRIMINANT SPACE
pp 44-66

CHAPTER 5 - RELATIVE MONODROMY
pp 67-89

CHAPTER 6 - DEFORMATIONS
pp 90-110

CHAPTER 7 - VANISHING LATTICES, MONODROMY GROUPS AND ADJACENCY
pp 111-136

CHAPTER 8 - THE LOCAL GAUSS-MAN IN CONNECTION
pp 137-167

CHAPTER 9 - APPLICATIONS OF THE LOCAL GAUSS-MANIN CONNECTION
pp 168-186

REFERENCES
pp 187-195

INDEX OF NOTATIONS
pp 196-197

SUBJECT INDEX
pp 198-200

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Isolated Singular Points on Complete Intersections

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