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Bulletin of the American Mathematical Society

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The irregularity of an algebraic surface and a theorem on regular surfaces


Author: H. T. Muhly
Journal: Bull. Amer. Math. Soc. 55 (1949), 940-947
DOI: https://doi.org/10.1090/S0002-9904-1949-09314-X
MathSciNet review: 0033102
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  • 1. H. T. Muhly, A remark on normal varieties, Ann. of Math. vol. 42 (1941). MR 4494
  • 2. H. T. Muhly, Integral bases and a characterization of regular surfaces, Trans. Amer. Math. Soc. vol. 54 (1943). MR 8914
  • 3. H. T. Muhly and O. Zariski, Hilbert's characteristic function and the arithmetic genus of an algebraic variety, to appear in Trans. Amer. Math. Soc. MR 37547
  • 4. O. Zariski, Algebraic surfaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 3, 1935.
  • 5. Oscar Zariski, Some Results in the Arithmetic Theory of Algebraic Varieties, Amer. J. Math. 61 (1939), no. 2, 249–294. MR 1507376, https://doi.org/10.2307/2371499
  • 6. O. Zariski, The reduction of the singularities of an algebraic surface, Ann. of Math. vol. 40 (1939).
  • 7. O. Zariski, Pencils on an algebraic variety and a new proof of a theorem of Bertini, Trans. Amer. Math. Soc. vol. 50 (1941). MR 4241
  • 8. O. Zariski, A simplified proof for the resolution of singularities of an algebraic surface, Ann. of Math. vol. 43 (1942). MR 6851
  • 9. O. Zariski, The theorem of Bertini on the variable singular points of a linear system of varieties, Trans. Amer. Math. Soc. vol. 56 (1944). MR 11572


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1949-09314-X

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