1.

Record Nr.

UNINA9910827670003321

Autore

Fernández de Bobadilla Javier <1973->

Titolo

Moduli spaces of polynomials in two variables / / Javier Fernández de Bobadilla

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2005

ISBN

1-4704-0418-4

Descrizione fisica

1 online resource (154 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 817

Disciplina

510 s

516/.4

Soggetti

Geometry, Affine

Moduli theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"January 2005, volume 173, number 817 (second of 5 numbers)."

Nota di bibliografia

Includes bibliographical references (pages 135-136).

Nota di contenuto

""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""