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- W1994805928 abstract "Given a weighted dual graph such that the canonical cycle <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper K prime> <mml:semantics> <mml:msup> <mml:mi>K</mml:mi> <mml:mo>′</mml:mo> </mml:msup> <mml:annotation encoding=application/x-tex>K’</mml:annotation> </mml:semantics> </mml:math> </inline-formula> exists, is there a singularity corresponding to the given weighted dual graph and which has Gorenstein structure? This is one of the important problems in normal surface singularities. In this paper, we give a necessary and sufficient condition for the existence of Gorenstein structures for weakly elliptic singularities. A necessary and sufficient condition for the existence of maximally elliptic structure is also given. Hence, the above question is answered affirmatively for a special kind of singularities. We also develop a theory for those elliptic Gorenstein singularities with geometric genus equal to three." @default.
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- W1994805928 date "1979-01-01" @default.
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- W1994805928 title "Normal two-dimensional elliptic singularities" @default.
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- W1994805928 doi "https://doi.org/10.1090/s0002-9947-1979-0539910-7" @default.
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