Timeline for Motivation for concepts in Algebraic Geometry
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 21, 2010 at 12:50 | comment | added | Charles Siegel | In many ways it is. If nothing else, you get some constructions to work better, like products are the products of the functors of points, but not of the underlying spaces (because the Zariski topology contains almost none of the geometric information we want) | |
| Jan 21, 2010 at 3:14 | comment | added | Steven Gubkin | I checked this book out. Your right: It is much better at motivating things geometrically than I have seen. Also I like the prevalence of the functor of points approach, which I think is actually closer to the spirit of the geometry than the "normal" approach to schemes. | |
| Jan 21, 2010 at 3:12 | vote | accept | Steven Gubkin | ||
| Jan 20, 2010 at 23:01 | comment | added | Tom Church | As a non-algebraic geometer, I would start with the Red Book, which gives intuition about varieties as well as schemes, and then read The Geometry of Schemes. It's a great book, but its focus is more on really understanding schemes geometrically and explicitly, and for me this was hard without a better understanding of the most basic notions of algebraic geometry, and how they correspond to the geometric notions I'm familiar with. I came back after reading the Red Book and found it much easier. Both are amazing texts. | |
| Jan 20, 2010 at 18:26 | comment | added | Steven Gubkin | Thanks, I had not heard of that one. I will check it out and see if it meets my criteria. | |
| Jan 20, 2010 at 18:23 | history | answered | Charles Siegel | CC BY-SA 2.5 |