Everything I always wanted to know about resultants and Chow forms (but was too lazy to ask)

TL;DR

This paper explores fundamental properties of resultants and Chow forms through a personal, algebraic approach, offering insights beyond standard literature.

Contribution

It provides a personal, algebraic exploration of resultants and Chow forms, highlighting properties not extensively covered in existing literature.

Findings

Develops fundamental properties of resultants and Chow forms.

Offers an algebraic perspective distinct from standard literature.

Personal exploration enhances understanding of these algebraic objects.

Abstract

This note develops some fundamental properties of resultants and related notions. It represents my own personal exploration of this domain, which I found more instructive than seeking answers in the standard literature. Consequently, notation and terminology may be quite idiosyncratic, and the approach is very algebraic. Read at your own risk.