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On four-dimensional terminal quotient singularities


Authors: Shigefumi Mori, David R. Morrison and Ian Morrison
Journal: Math. Comp. 51 (1988), 769-786
MSC: Primary 14J35; Secondary 14B05, 14J10
DOI: https://doi.org/10.1090/S0025-5718-1988-0958643-5
MathSciNet review: 958643
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Abstract: We report on an investigation of four-dimensional 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 $ < 1600$ 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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DOI: https://doi.org/10.1090/S0025-5718-1988-0958643-5
Article copyright: © Copyright 1988 American Mathematical Society

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