Timeline for Dimension-specific phenomena in algebraic geometry
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 18, 2019 at 12:55 | answer | added | Libli | timeline score: 3 | |
| Apr 18, 2019 at 1:59 | comment | added | Mohan | There are many special things which happen in reals (for a silly example, polynomials of even degree with no roots), but algebraic geometry is best understood over complex numbers and such special things are rare and I know of no easy examples. One can always look for special things, for example, over $\mathbb{C}$ every unirational variety is rational if $\dim\leq 2$ and in positive characteristic true only for $\dim =1$. False otherwise. | |
| Apr 17, 2019 at 20:17 | comment | added | user137767 | could the down-voters kindly explain the reason why this question is a bad one? I am aware that the fact that smooth topology is interesting in dimension 4 is a miracle. I am asking whether such a miracle happens in algebraic geometry. Asking for a miracle by itself is not a valid reason to be down-voted, I would think. | |
| Apr 17, 2019 at 20:10 | review | Close votes | |||
| Apr 18, 2019 at 12:57 | |||||
| Apr 17, 2019 at 19:40 | history | asked | user137767 | CC BY-SA 4.0 |