准齐次正仿射sl2型的正则模

Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI:10.1070/SM1992V073N02ABEH002563

D. Panyushev

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引用次数: 4

摘要

对于标题中提到的变体，给出了正则除数、皮卡德群和除数类群的描述。特别地，由此可以得出奇异的三维拟齐次sl2变异体不是Gorenstein。描述规范化模块。所有的描述都是根据离散参数给出的:准齐次仿射sl2变异的高度和程度。

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THE CANONICAL MODULE OF A QUASIHOMOGENEOUS NORMAL AFFINE SL2-VARIETY

For the varieties mentioned in the title a description is given for the canonical divisor, the Picard group, and the divisor class group. In particular, it follows from this that the singular 3-dimensional quasihomogeneous SL2-varieties are not Gorenstein. The canonical module is described. All descriptions are given in terms of discrete parameters: the height and the degree of a quasihomogeneous affine SL2-variety.

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Mathematics of The Ussr-sbornik

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