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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References | Additional Information

**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