A note on gluing: a pillar of algebraic geometry

TL;DR

This paper explores the fundamental role of gluing in algebraic geometry by analyzing its categorical foundations and emphasizing its importance in the field's structural framework.

Contribution

It provides a categorical perspective on gluing, highlighting its foundational significance in the architecture of algebraic geometry.

Findings

Gluing is essential for constructing complex geometric objects.

Categorical analysis clarifies the role of gluing in algebraic geometry.

The paper establishes a general framework for understanding gluing processes.

Abstract

This paper examines the concept of gluing, placing it within its most general categorical context and tracing its foundational role in the broader architecture of algebraic geometry.