Timeline for Non standard algebraic geometry: shadows of varieties
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Nov 19, 2011 at 5:36 | answer | added | David Milovich | timeline score: 1 | |
| Nov 18, 2011 at 8:53 | comment | added | Anton Fonarev | Sorry, I was wrong in my first comment. Indeed, one should divide every equation by the biggest coefficient. | |
| Nov 18, 2011 at 1:55 | comment | added | Will Sawin | The shadow of that point seems entirely well-behaved: it's a point, $[0,1]$ since $[\omega,\omega^2]=[1/\omega,1]$ with shadow $[0,1]$. | |
| Nov 18, 2011 at 0:18 | comment | added | Anton Fonarev | I'd say that the proper question is whether such a projective variety is a shadow in the case where all the coefficients are finite and not infinitesimally small. Then the answer is affirmative. | |
| Nov 18, 2011 at 0:13 | comment | added | Anton Fonarev | It is not always true: take some infinite $\omega\in\mathrm{F}$ (a hyperreal number, s.t. $n<\omega$ for any $n\in\mathbb{N}$). And the point [$\omega\ $:$\omega^2$] defined in $\mathbb{FP}^2$ by the obvious equation $x-\omega^{-1}y=0$. | |
| Nov 17, 2011 at 22:40 | history | edited | Martin Brandenburg |
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| Nov 17, 2011 at 22:06 | history | asked | Daryl Cooper | CC BY-SA 3.0 |