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Zur algebraischen Geometrie IX

In: Zur algebraischen Geometrie

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  • Wei-Liang Chow

    (mit)

Abstract

Zusammenfassung Es ist prinzipiell wichtig, geometrische Gebilde durch Koordinaten darstellen zu können. Ist das nämlich für eine bestimmte Art von Gebilden G einmal geschehen, so hat es einen Sinn, von einer algebraischen Mannigfaltigkeit oder einem algebraischen System von Gebilden G zu sprechen und die gesamte Theorie der algebraischen Mannigfaltigkeiten (Zerlegung in irreduzible, Dimensionsbegriff, Begriff der allgemeinen Elemente einer irreduziblen Mannigfaltigkeit) darauf anzuwenden. Erwünscht ist dabei, daß die Gesamtheit aller Gebilde G der betrachteten Art (eventuell nach Hinzufügung von geeigneten Grenzgebilden) eine algebraische Mannigfaltigkeit darstellt, also durch algebraische Gleichungen in den Koordinaten charakterisiert werden kann.

Suggested Citation

  • Wei-Liang Chow, 1983. "Zur algebraischen Geometrie IX," Springer Books, in: Zur algebraischen Geometrie, chapter 16, pages 212-224, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-61782-9_16
    DOI: 10.1007/978-3-642-61782-9_16
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