论文标题
纤维实体方案的本地研究
A local study of the fiber-full scheme
论文作者
论文摘要
我们研究了纤维实体方案的一些局部特性，这是一个良好的模量空间，它通过使用规定的同胞数据来参数封闭的亚化案件来概括希尔伯特方案。结果，我们提供了足够的条件，使得在Gröbner变性下保持恒定。我们还用类似于希尔伯特方案的方案来描述纤维实现方案的切线理论。
We study some of the local properties of the fiber-full scheme, which is a fine moduli space that generalizes the Hilbert scheme by parametrizing closed subschemes with prescribed cohomological data. As a consequence, we provide sufficient conditions for cohomology to remain constant under Gröbner degenerations. We also describe a tangent-obstruction theory for the fiber-full scheme in analogy with the one for the Hilbert scheme.
