TY  - BOOK
AU  - de Bobadilla,Javier Fernández
AU  - Fernndez De Bobadilla,Javier
TI  - Moduli Spaces of Polynomials in Two Variables
T2  - Memoirs of the American Mathematical Society
SN  - 9781470404185
AV  - QA477 -- .F47 2005eb 
U1  - 510 s;516/.4 
PY  - 2005///
CY  - Providence
PB  - American Mathematical Society
KW  - Geometry, Affine
KW  - Moduli theory
KW  - Electronic books
N1  - Intro -- Contents -- Introduction -- Chapter 1. Automorphisms of the affine plane -- 1.1. Blowing ups and graphs -- 1.2. Automorphisms of the affine plane -- Chapter 2. A partition on C[x,y] -- 2.1. Parental systems and graphs -- 2.2. The partition -- 2.3. Automorphisms and orderings of graphs -- Chapter 3. The geometry of the partition -- 3.1. Basic definitions -- 3.2. Varieties parametrizing infinitely near points -- 3.3. The algebraicity of the subsets of the partition -- 3.4. The geometry of the subsets of the partition -- Chapter 4. The action of Aut(C[sup(2)])  on C[x,y] -- 4.1. The action of Aut(C[sup(2)])  at the combinatorial level -- 4.2. Degree and composition by automorphisms -- 4.3. Invariance of the behaviour graph by translations on the left -- Chapter 5. The moduli problem -- 5.1. The moduli problem: groupoid approach -- 5.2. Comparison of groupoids -- Chapter 6. The moduli spaces -- 6.1. Combinatorial preliminaries -- 6.2. Construction of the moduli spaces -- 6.3. On the geometry of the moduli spaces -- Appendix A. Canonical orders -- Bibliography
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114182
ER  -