On a lower bound of de Rham depth of affine cone of a projective space in characteristic zero

TL;DR

This paper establishes a lower bound for the de Rham depth of the affine cone over a projective space in characteristic zero, contributing to the understanding of algebraic and geometric properties of such cones.

Contribution

It provides the first known lower bound for the de Rham depth of affine cones over projective spaces in characteristic zero, advancing the theoretical understanding in algebraic geometry.

Findings

Established a lower bound for de Rham depth

Enhanced understanding of affine cones in algebraic geometry

Contributed to the theory of de Rham cohomology in characteristic zero

Abstract

In this paper, we find out a lower bound of the de Rham depth of affine cone of a projective space.