Unicity of Meromorphic Mappings

Preface.

1: Nevanlinna theory.
1.1. Parabolic manifolds and Hermitian geometry.
1.2. The first main theorem.
1.3. Growths of meromorphic functions.
1.4. The lemma of logarithmic derivative.
1.5. Growth estimates of Wronskians.
1.6. The second main theorem.
1.7. Degenerate holomorphic curves.
1.8. Value distribution of differential polynomials.
1.9. The second main theorem for small functions.
1.10. Tumura-Clunie theory.
1.11. Generalizations of Nevanlinna theorem.
1.12. Generalizations of Borel theorem.

2: Uniqueness of meromorphic functions on C.
2.1. Functions that share four values.
2.2. Functions that share three values CM.
2.3. Functions that share pairs of values.
2.4. Functions that share four small functions.
2.5. Functions that share five small functions.
2.6. Uniqueness related to differential polynomials.
2.7. Polynomials that share a set.
2.8. Meromorphic functions that share the same sets.
2.9. Unique range sets.
2.10. Uniqueness polynomials.

3: Uniqueness of meromorphic functions on Cm.
3.1. Technical lemmas.
3.2. Multiple values of meromorphic functions.
3.3. Uniqueness of differential polynomials.
3.4. The four-value theorem.
3.5. The three-value theorem.
3.6. Generalizations of Rubel-Yang's theorem.
3.7. Meromorphic functions sharing one value.
3.8. Unique range sets of meromorphic functions.
3.9. Unique range sets ignoring multiplicities.
3.10. Meromorphic functions of order <
1.
3.11. A note on the abc-conjecture.
3.12. A note on Hall's conjecture.

4: Uniqueness of meromorphic mappings.
4.1. Notes on the first main theorem.
4.2. The first main theorem for line bundles.
4.3. The second main theorem for line bundles.
4.4. Uniqueness of meromorphic mappings into Pn.
4.5. Finiteness theorems.
4.6. General meromorphic mappings.
4.7. Dependence theorems.
4.8. Propagation theorems.
4.9. Uniqueness dealing with multiple values.

5: Algebroid functions of several variables.
5.1.