Re:How I Learned to Love Algebraic Geometry
by NiftyWalrus on Saturday March 16, 2019 @10:37AM
(#19407993)
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 concepts.
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Re:How I Learned to Love Algebraic Geometry
by obastani on Saturday March 16, 2019 @10:54AM
(#19408099)
I don't know myself, but here are some possible answers:
https://mathoverflow.net/questions/114034/learning-path-for-...
Edit: Here is another overview that seems good:
Re:How I Learned to Love Algebraic Geometry
by sdenton4 on Saturday March 16, 2019 @03:18PM
(#19409614)
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.
Re:How I Learned to Love Algebraic Geometry
by MaysonL on Saturday March 16, 2019 @11:11AM
(#19408200)
Take a look at the stacks project: https://stacks.math.columbia.edu
A cross between a wiki and a collaborative textbook.