Timeline for Why students of algebraic geometry learn about schemes
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 24 at 0:48 | comment | added | roy smith | I don't know or think much about schemes, but even from my experience as a complex algebraic geometer, in the style of Griffiths-Harris, I think anyone who intersects algebraic varieties or looks at maps between them, is better off knowing what a scheme theoretic intersection or fiber means. | |
| May 21 at 18:54 | comment | added | Will Sawin | The truth is just that there's a lot of algebraic geometry. If you're looking for reasons not to study schemes then you can find a lot of algebraic geometry to do that doesn't require schemes. If you're looking for reasons to study schemes you can find a lot of algebraic geometry that does require schemes. Moduli theory alone intersects pretty much every field of algebraic geometry - certainly Hodge theory and birational geometry both have deep connections with moduli theory (e.g. Torelli theorems, moduli spaces of varieties of specific birational types). | |
| May 21 at 18:48 | comment | added | Sam Hopkins | I +1'd this question, but I also think the questions you linked to have a lot of relevant information in them which more-or-less address this question as well. | |
| May 21 at 18:45 | history | asked | Song Ye | CC BY-SA 4.0 |