diff --git a/projective_hodge_iitaka_v2.txt b/projective_hodge_iitaka_v2.txt
index b8307e4..64025e1 100644
--- a/projective_hodge_iitaka_v2.txt
+++ b/projective_hodge_iitaka_v2.txt
@@ -12,38 +12,10 @@ zero.  If F is the geometric generic fiber of f : X -> Z, then
 kappa(X) >= kappa(F) + kappa(Z).
 
 
-CONTENTS
-
-  0. The theorem, in plain words
-  1. Background you need
-     1.1 Kodaira dimension
-     1.2 Variations of Hodge structure and period maps
-     1.3 The highest Hodge line and its extension
-     1.4 The canonical bundle formula
-     1.5 Weak positivity and log general type
-  2. The shape of the proof
-  3. Adjoint positivity for the highest Hodge line
-  4. Rational minimality and fixed periods
-  5. Numerical rank and tangential limits
-  6. Rank loss on the boundary and the ramification divisor
-  7. The period quotient and adjoint bigness
-  8. Canonical bundle data and the least-index root cover
-  9. Ordinary subadditivity
-  10. Appendix: an integral projective proof of adjoint positivity
-  11. Appendix: Chern intersections and Thom forms
-  References
-
-
-READER'S GUIDE
-
-A reader new to the subject should start with Sections 0-2: the
-theorem in plain words, the language, and the strategy on one page.
-From there, Section 9 assembles the whole proof assuming the technical
-steps of Sections 3-8, so a first-time reader can go straight from
-Section 2 to Section 9 to see the shape, and only then dive into the
-technical preparation.  Sections 3-8 are the heart, proving adjoint
-positivity (Theorem 3.1).  Sections 10 and 11 give alternate proofs
-of that step and can be skipped on a first pass.
+
+
+
+
 
 
 0. THE THEOREM, IN PLAIN WORDS