List of Figures ............................................... vii
Chapter 1 Introduction ......................................... 1
Chapter 2 Preliminaries on Complete Ideals ..................... 5
Chapter 3 Arithmetic of the Point Basis ....................... 13
Chapter 4 The Dual Graph ...................................... 19
Chapter 5 Multiplier Ideals and Jumping Numbers ............... 25
Chapter 6 Main Theorem ........................................ 29
Chapter 7 Proof of Main Theorem ............................... 35
7.1 On Certain Intersection Products ....................... 35
7.2 Key Lemmas ............................................. 43
7.3 Proof of Theorem 6.2 ................................... 50
Chapter 8 Jumping Numbers of a Simple Ideal ................... 59
Chapter 9 Jumping Numbers of an Analytically Irreducible
Plane Curve ................................................. 69
Bibliography ................................................... 77
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