论文标题

完美理想的发电机数量

Numbers of Generators of Perfect Ideals

论文作者

Heitmann, Raymond C

论文摘要

本文涉及普通本地戒指中完美理想J的发电机数量(R,M)。如果J足够大的模型$ m^n $,则仅根据n建立一个界限,并且J.更雄心勃勃的猜想的投影维度也被引入一些部分结果。

This article is concerned with the number of generators of perfect ideals J in regular local rings (R,m). If J is sufficiently large modulo $m^n$, a bound is established depending only on n and the projective dimension of J. More ambitious conjectures are also introduced with some partial results.

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