The Moduli Problem for Plane Branches (University Lecture Series, 39, Band 39) - Softcover

Inhaltsangabe

Zariski builds on the foundation set by Riemann in the famous count of the 3g-3 parameters needed to determine a curve of genus g by studying the moduli space of curves of the same equisingularity in class. Zariski begins by describing that equisingularity and the moduli space, along with the Puiseux expansion, then covers equisingularity invariants, parametrizations, the topology of moduli space, including an explicit determination of the rare cases when the space is compact, and gives examples applications of deformation theory to the moduli problem, including the determination of the generic component for a particular family of curves. In an appendix Bernard Teissier reconsiders the moduli program from the point of view of deformation theory, giving new proofs of Zariski's results as well as a natural construction of the moduli space. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.