4 ms·

What is the modern path to study this area now? I’m sure it’s better understood now and one wouldn’t have to follow the historical approach to study the same co

• obastani 8y ago
  I don't know myself, but here are some possible answers: https://mathoverflow.net/questions/114034/learning-path-for-the-proof-of-the-weil-conjectures https://mathoverflow.net/questions/114034/learning-path-for-... Edit: Here is another overview that seems good: https://www.math.ucdavis.edu/~osserman/math/pcm.pdf https://www.math.ucdavis.edu/~osserman/math/pcm.pdf
• MaysonL 8y ago
  Take a look at the stacks project: https://stacks.math.columbia.edu https://stacks.math.columbia.edu A cross between a wiki and a collaborative textbook.
• sdenton4 8y ago
  Yeah, it's still incredibly difficult terrain, despite all the time that's passed. Wrestling with Hartsthorne is still a rite of passage for students in this area. I am (very) intrigued to know what would happen if someone made a serious effort to make the ideas more accessible. It remains an area where the depth of knowledge required is legitimately deep: would be cool to figure out which ideas are actually independent of other parts of the stack.