On the equality of de Rham depth and formal grade in characteristic zero

Majid Eghbali

On the equality of de Rham depth and formal grade in characteristic zero

Commutative Algebra 2021-06-22 v1 Algebraic Geometry

Authors: Majid Eghbali

Abstract

Let $Y \subset \mathbb{P}^n_k$ be a non-singular proper closed subset of projective $n$ -space over a field $k$ of characteristic zero and let $I \subset R=k[x_0, \ldots, x_n]$ be the homogeneous defining ideal of $Y$ . We show that in this case, the de Rham depth of $Y$ is the same as the so-called formal grade of $I$ in $R$ .

Keywords

de rham depth formal grade projective space homogeneous ideal characteristic zero

Cite

@article{arxiv.2106.10702,
  title  = {On the equality of de Rham depth and formal grade in characteristic zero},
  author = {Majid Eghbali},
  journal= {arXiv preprint arXiv:2106.10702},
  year   = {2021}
}

Comments

3 pages, any comment is welcome

Related papers

View all related →