Contents
Introduction
I. Basic Constructions
1.
2.
3.
4.
5.
6.
Background
Igusa Variety
The Variety
The Morphism Si - S
Cocycles
The Data
II. Coordinates and Coordinate Relations
1.
2.
3.
4.
5.
6.
7.
8.
9.
The Coordinates x(W,0)
The Coordinates w(/3)
The Extension of w(/?) to Y"
The Coordinate Ring
Computation of
t~ln~ltn
A Technical Lemma
Application to G%
The Function n7
Fundamental Divisors on Yp
III. Groups of Rank Two
1.
2.
3.
Zero Patterns
Coordinate Relations
Exclusion of Spurious Divisors (rank two)
IV. The Subregular Spurious Divisor
1.
2.
3.
4.
5.
6.
7.
8.
Subregular Unipotent Conjugacy Classes
Exclusion of Spurious Divisors
The Graph To
The Modified Star
Weyl Chambers
A Lemma about Cells
Contact
Assumption 3.1
V. The Subregular Fundamental Divisor
1.
2.
3.
4.
5.
6.
Regularity
Igusa Theory and Measures
Principal Value Integrals at Points of Ea 0
Igusa Data for Interchanged Divisors
Transition Functions
Coordinate Relations
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