On fourdimensional terminal quotient singularities
Authors:
Shigefumi Mori, David R. Morrison and Ian Morrison
Journal:
Math. Comp. 51 (1988), 769786
MSC:
Primary 14J35; Secondary 14B05, 14J10
MathSciNet review:
958643
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Abstract: We report on an investigation of fourdimensional terminal cyclic quotient singularities which are not Gorenstein. (For simplicity, we focus on quotients by cyclic groups of prime order.) An enumeration, using a computer, of all such singularities for primes led us to conjecture a structure theorem for these singularities (which is rather more complicated than the known structure theorem in dimension three). We discuss this conjecture and our evidence for it; we also discuss properties of the anticanonical and antibicanonical linear systems of these singularities.
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 D. R. Morrison & G. Stevens, "Terminal quotient singularities in dimensions three and four," Proc. Amer. Math. Soc., v. 90, 1984, pp. 1520. MR 722406 (85a:14004)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718198809586435
PII:
S 00255718(1988)09586435
Article copyright:
© Copyright 1988
American Mathematical Society
