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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Pencils on an algebraic variety and a new proof of a theorem of Bertini


Author: Oscar Zariski
Journal: Trans. Amer. Math. Soc. 50 (1941), 48-70
MSC: Primary 09.1X
DOI: https://doi.org/10.1090/S0002-9947-1941-0004241-4
MathSciNet review: 0004241
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References [Enhancements On Off] (What's this?)

  • [1] W. Krull, Idealtheorie, Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 4, no. 3.
  • [2] B. L. van der Waerden, Moderne Algebra, vol. 2.
  • [3] B. L. van der Waerden, Über lineare Scharen von reduziblen Mannigfaltigkeiten, Mathematische Annalen, vol. 113 (1936).
  • [4] O. Zariski, Some results in the arithmetic theory of algebraic varieties, American Journal of Mathematics, vol. 61 (1939).
  • [5] Oscar Zariski, Algebraic varieties over ground fields of characteristic zero, Amer. J. Math. 62 (1940), 187–221. MR 0000611, https://doi.org/10.2307/2371447

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DOI: https://doi.org/10.1090/S0002-9947-1941-0004241-4
Article copyright: © Copyright 1941 American Mathematical Society