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How to learn Schubert calculus?

代数几何 Math StackExchange 0 票 1 回答 95 浏览 提问者: Tongren Xiao 2026-07-15 15:38
algebraic-geometry reference-request schubert-calculus

问题内容

As a soon-to-be senior undergraduate planning to pursue research in Schubert calculus under a supervisor specializing in this field, I have struggled to locate accessible introductory textbooks or lecture notes for this subject, as well as more advanced reference materials to save for my future graduate studies. Could anyone kindly share any recommended textbooks or lecture notes on Schubert calculus? Thank you very much for your valuable suggestions.

回答 (1)

coudy 4 票 2026-07-15 16:01 原文

3264 and All That: A Second Course in Algebraic Geometry by David Eisenbud (Author), Joe Harris (Author) is, I think, a good introduction, motivated by many examples and applications in geometry. Schubert calculus is not its only focus, but it explains pretty well why it was developed and how to use it in enumerative geometry.