论文标题
当地共同学和分级专业化的通用烦恼
Generic freeness of local cohomology and graded specialization
论文作者
论文摘要
主要的重点是在分级环境中的局部共同体学模块的通用费用。目前的方法是在相当非限制性的环境中进行的，仅假设地面系数环是noe的。在其他假设下，例如减少后者或域时，结果变得更强。这些考虑因素的一个重要应用是对模块的理性图以及对称和REES功能的专业化。
The main focus is the generic freeness of local cohomology modules in a graded setting. The present approach takes place in a quite nonrestrictive setting, by solely assuming that the ground coefficient ring is Noetherian. Under additional assumptions, such as when the latter is reduced or a domain, the outcome turns out to be stronger. One important application of these considerations is to the specialization of rational maps and of symmetric and Rees powers of a module.
