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Quartic surfaces of elliptic ruled type
Author:
Yumiko Umezu
Journal:
Trans. Amer. Math. Soc. 283 (1984), 127-143
MSC:
Primary 14J26; Secondary 14E15, 14J17, 14J27
MathSciNet review:
735411
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Abstract: Let be a normal quartic surface whose resolutions are birationally equivalent to elliptic ruled surfaces. We classify the singularities on and then describe the global structure of .
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- [1]
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- [2]
- H. Laufer, On minimally elliptic singularities, Amer. J. Math. 99 (1977), 1259-1295. MR 0568898 (58:27961)
- [3]
- Y. Umezu, On normal projective surfaces with trivial dualizing sheaf, Tokyo J. Math. 4 (1981), 343-354. MR 646044 (83c:14025)
- [4]
- Stephen S.-T. Yau, On maximally elliptic singularities, Trans. Amer. Math. Soc. 257 (1980), 269-329. MR 552260 (80j:32021)
- [5]
- -, Hypersurface weighted dual graphs of normal singularities of surfaces, Amer. J. Math. 101 (1979), 761-811 MR 536041 (81a:32009)
- [6]
- -, Gorenstein singularities with geometric genus equal to two, Amer. J. Math. 101 (1979), 813-854. MR 536042 (81a:32010)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1984-0735411-3
PII:
S 0002-9947(1984)0735411-3
Keywords:
Minimal resolution of singularities,
exceptional set,
geometric genus,
elliptic ruled surfaces
Article copyright:
© Copyright 1984 American Mathematical Society
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