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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Book by Oscar Zariski
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Da: Antiquariat Bookfarm, Löbnitz, Germania
Softcover. Condizione: Gut. VIII, 151 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. R-16674 9780821829837 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2480054
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Paperback. Condizione: New. Moduli problems in algebraic geometry date back to Riemann's famous count of the $3g-3$ parameters needed to determine a curve of genus $g$. In this book, Zariski studies the moduli space of curves of the same equisingularity class. After setting up and reviewing the basic material, Zariski devotes one chapter to the topology of the moduli space, including an explicit determination of the rare cases when the space is compact. Chapter V looks at specific examples where the dimension of the generic component can be determined through rather concrete methods. Zariski's last chapter concerns the application of deformation theory to the moduli problem, including the determination of the dimension of the generic component for a particular family of curves. An appendix by Bernard Teissier reconsiders the moduli problem from the point of view of deformation theory. He gives new proofs of some of Zariski's results, as well as a natural construction of a compactification of the moduli space. Codice articolo LU-9780821829837
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Softcover. Condizione: Wie neu. With an Appendix by Bernard Teissier. Providence, AMS (2006). gr.8°. VIII, 151 p. Pbck. University Lecture Series, Volume 39.- Like new. Codice articolo 96046
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Condizione: New. Moduli problems in algebraic geometry date back to Riemann's famous count of the $3g-3$ parameters needed to determine a curve of genus $g$. This book studies the moduli space of curves of the same equisingularity class. It considers the moduli problem from the point of view of deformation theory. Series: University Lecture Series. Num Pages: 151 pages, Illustrations. BIC Classification: PBMH; PBMW. Category: (P) Professional & Vocational. Weight in Grams: 312. . 2006. Paperback. . . . . Codice articolo V9780821829837
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Condizione: New. Moduli problems in algebraic geometry date back to Riemann's famous count of the $3g-3$ parameters needed to determine a curve of genus $g$. This book studies the moduli space of curves of the same equisingularity class. It considers the moduli problem from the point of view of deformation theory. Series: University Lecture Series. Num Pages: 151 pages, Illustrations. BIC Classification: PBMH; PBMW. Category: (P) Professional & Vocational. Weight in Grams: 312. . 2006. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9780821829837
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