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Affine Schemata

In: Kommutative Algebra und Algebraische Geometrie

Author

Listed:
  • Jürgen Böhm

Abstract

Zusammenfassung Es werden die affinen Schemata als Spektren der kommutativen Ringe vorgestellt mit einer aus Lokalisierungen dieser Ringe gewonnenen Strukturgarbe und so als Unterkategorie der lokal geringten Räume. Weiter wird die Äquivalenz der Kategorie der affinen Schemata mit der Kategorie der kommutativen Ringe gezeigt sowie die Konstruktion der assoziierten Modulgarbe zu einem Modul über einem kommutativen Ring.

Suggested Citation

  • Jürgen Böhm, 2019. "Affine Schemata," Springer Books, in: Kommutative Algebra und Algebraische Geometrie, chapter 0, pages 257-262, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-59482-7_4
    DOI: 10.1007/978-3-662-59482-7_4
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