Click on any of the
[ 5]
items below.
✺
Chap1-2GenCurves
: Chap.s 1 and 2: Basics on covers and their moduli
§ 1.1. Branch cycles and moduli
§ 1.2. Statement of results
§ 2.1. Principles about
M
g
: generic curves of genus
g
§ 2.2. Degrees of simple covers
Chap1-2GenCurves.pdf
✺
Chap3-GenCurves
: Chap. 3: Main Theorem; Group Theory and Exceptional Cases
§ 3.1. Proof of the Main Theorem
§ 3.2. Finiteness of |
G
g
(sol)∩
G
g
(prim)| for
g
> 1
§ 3.3. Inspection of |
G
g
(sol)∩
G
g
(prim)| for
g
= 1
Chap3-GenCurves.pdf
✺
Chap4-GenCurves
: Chap. 4: Details on Nielsen Classes in the Exceptional Cases
§ 4.1. Nielsen classes and Hurwitz monodromy action
§ 4.2. The structure constant lemma
§ 4.3. Cases (3.6) a), c) and d) of Theorem 3.3
§ 4.4. Cases (3.6) f) of Theorem 3.3
Chap4-GenCurves.pdf
✺
Chap5-GenCurves
: Chap. 5: Moduli dimension of Families of Covers
§ 5.1. Group Actions on Cohomology
§ 5.2. Moduli dimension of exceptional cases
§ 5.3. Generic curves and
A
n
, and a full Moduli formula
Chap5-GenCurves.pdf
✺
Addendum-GenCurves
: Bob Guralnick's 1989 suggestions for shortening proofs by eliminating § 3.6a and §3.6c and possibly removing pages 4.6 to 4.10.
Addendum-GenCurves.pdf