AGATHOS

Algebraic Geometry: A Total Hypertext Online System

List of Key Concepts

Basics

• dimension
• degree
• irreducibility
• variety
• point
• genus
• singularity
• fibre
• local ring

Functions

• morphism
• rational map
• function field
• blowup
• birationality

Less Basic

• divisor
• differential form
• residue
• separated (Hausdorff)
• proper (complete)
• Hilbert polynomial

Intersection Theory

• multiplicity
• intersection
• cycle
• linear system
• correspondence
• constructible set

Sheaves, Schemes and Cohomology

• scheme
• flat
• vector bundle
• coherence
• étale

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