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Fundamentalgruppen Algebraischer Mannigfaltigkeiten by Herbert Popp

Fundamentalgruppen Algebraischer Mannigfaltigkeiten

by Herbert Popp
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Book cover type: Paperback
  • ISBN13: 9783540053248
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 156
  • Original Price: GBP 14.99
  • Language: German
  • Edition: 1970
  • Item Weight: 241 grams
  • BISAC Subject(s): General

Die Fundamentalgruppe normaler Schemata. Der klassische Fall.- Vier Sätze der algebraischen Geometrie.- Ein Erzeugendensystem für ? 1 (z) (X-C), wenn X eine reguläre, einfach zusammenhängende, projektive Mannigfaltigkeit der Dimension ? 2 ist und die HyperfLäche C nur normale Schnitte als Singularitäten hat.- Das Verhalten zahm verzweigter Überlageruncen in Lokalen.- Die Struktur der Faktorkommutatorgruppe von ? 1 (z) (Pn-C). Erzeugende und Relationen für ? 1 (z) (pn-C), wenn C nur nhormale Schnitte als Singularitäten hat.- Die Struktur von ? 1 (z) (X-C), falls X eine irreduzible, reguläre, projektive Fläche ist und die Kurve C nicht zu grosse Singularitäten hat.- Anwendungen und Beispiele.- Einiges über Überlagerungen von Kurven.- Überlagerungen von Produkten. Unabhängigkeit von ?1(X) bei Konstantenerweiterung. Deformation und Hochheben Etaler Überlagerungen.- Zurück zu Kurven. Hochhjeben von Kurven nach Charakteristik O unter Erhaltung des Geschlechts.- Die Struktur des p-primen Teils der Fundamentalgruppe einer irreduziblen, projektiven und regulären Kurve vom Geschlecht g in Charakteristik p>0.- Die Struktur des p-primen Teils der Fundamentalgruppe einer in n Punkten Punktierten, projektiven Kurve in Charakteristik p>0.- Anwendungen der Sätze (11.4) und (12.1). Besonderheiten bei wilder Verzweigung. Beispiele und abschliessende Bemerkungen über Überlagerungen von Kurven.- Zurück Zu Flächen. Das Verhalten von ?1(X-C), wenn die Kurve C in einer algebraischen Familie auf der Fläche X variiert. Anwendungen.- Einige offene Fragen.

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