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

Zariski, Oscar

 
9780821829837: The Moduli Problem for Plane Branches (University Lecture Series, 39, Band 39)
Softcover
ISBN 10: 0821829831 ISBN 13: 9780821829837
Verlag: American Mathematical Society, 2007

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)

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Verlag
American Mathematical Society
Erscheinungsdatum
2007
Sprache
Englisch
ISBN 10 
0821829831
ISBN 13 
9780821829837
Einband
Taschenbuch
Anzahl der Seiten
151
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