# A note on the Tangent Cones of the scheme of Secant Loci

## TL;DR

This paper investigates the geometric structure of secant loci schemes by describing their tangent cones globally and comparing tangent space dimensions across different secant loci schemes.

## Contribution

It provides a new description of the tangent cones of secant loci schemes and compares tangent space dimensions, offering insights into their geometric properties.

## Key findings

- Global description of tangent cones of secant loci
- Comparison of tangent space dimensions across schemes
- Enhanced understanding of secant loci geometry

## Abstract

The point of this short note concerns with two facts on the scheme of secant loci. The first one is an attempt to describe the tangent cone of these schemes globally and the second one is a comparision on the dimension of the tangent spaces of various schemes of secant loci.