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代數(shù)幾何各階段學(xué)習(xí)資料推薦(初中到研究生)

2023-06-01 23:15 作者:宇航數(shù)學(xué)YuhangMath  | 我要投稿

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)


代數(shù)幾何各階段學(xué)習(xí)資料推薦(初中到研究生)的評論 (共 條)

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