论文标题

几乎完全完整的consimension 3的通用双打3

Generic doublings of almost complete intersections of codimension 3

论文作者

Laxmi, Jai

论文摘要

我们研究了戈伦斯坦的编辑理想,$ 4 $从几乎完整的交叉点的通用双打中得出的完美理想的codimension $ 3 $。我们还调查了这种Gorenstein理想的旋转坐标,并以$ 8 $和9美元的生成器进行调查。对于理想的$ j $,$ r $的理想$ j $,$ r/j $模块$ j/j^2 $称为conmormal模块,$ r/j $ $ j $ of $ j/j^2 $称为普通模块。我们研究几乎完整交叉点的综合和正常模块的属性,完美的codimension $ 3 $。

We study Gorenstein ideals of codimension $4$ derived from generic doublings of almost complete intersection perfect ideals of codimension $3$. We also investigate spinor coordinates of such Gorenstein ideals with $8$ and $9$ generators. For an ideal $J$ of commutative ring $R$, the $R/J$ module $J/J^2$ is called conormal module and $R/J$-dual of $J/J^2$ is called normal module. We study properties of conormal and normal modules of almost complete intersection perfect ideals of codimension $3$.

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