代数几何各阶段学习资料推荐（初中到研究生）

这些学习资料推荐给有天赋的希望自学代数几何的同学们，请查收！

初中级别：

Complex Algebraic Curves by Kirwan

Algebraic Geometry: A Problem Solving Approach by Garrity and Many Others

高中级别：

AG notes by Gathmann

Basic Algebraic Geometry 1 by Shafarevich

Algebraic Geometry - A First Course by Harris

大学级别：

THE RISING SEA - Foundations of Algebraic Geometry by Vakil

Algebraic Geometry by Hartshorne

3264 & All That by Eisenbud and Harris

研究生级别：

Intersection Theory by Fulton

The Stacks project by Johan de Jong

EGA, SGA, FGA by Grothenieck and His Collegues

其他：

The Arithmetic of Elliptic Curves (over char p)

Lectures on K3 surfaces by Huybrechts (over C)

Fourier-Mukai Transforms in Algebraic Geometry by Huybrechts (derived categories)

Le théorème de Riemann-Roch by Borel and Serre (Grothendieck-Riemann-Roch including Hirzebruch-Riemann-Roch as a special case)

Equivariant Moduli Theory on K3 surfaces by Chen (Orbifold Hirzebruch-Riemann-Roch)

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合作或任何其他问题可加陈宇航微信chenyuhang454616（人在美国）或尹嘉实微信JiashiYinPhysics（人在中国）