代數(shù)幾何各階段學(xué)習(xí)資料推薦(初中到研究生)
這些學(xué)習(xí)資料推薦給有天賦的希望自學(xué)代數(shù)幾何的同學(xué)們,請查收!
初中級別:
Complex Algebraic Curves by Kirwan
Algebraic Geometry: A Problem Solving Approach by Garrity and Many Others
高中級別:
AG notes by Gathmann
Basic Algebraic Geometry 1 by Shafarevich
Algebraic Geometry - A First Course by Harris
大學(xué)級別:
THE RISING SEA - Foundations of Algebraic Geometry by Vakil
Algebraic Geometry by Hartshorne
3264 & All That by Eisenbud and Harris
研究生級別:
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)
文末附宇航數(shù)學(xué)水群通道,這里數(shù)學(xué)巨佬云集,有獎問答豐富,討論內(nèi)容不限可暢所欲言,歡迎來玩~
合作或任何其他問題可加陳宇航微信chenyuhang454616(人在美國)或尹嘉實微信JiashiYinPhysics(人在中國)