Timeline for Can the degree of an affine variety increase after intersecting with a hyperplane?
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 14, 2020 at 3:09 | vote | accept | Powerspawn | ||
| Feb 14, 2020 at 2:40 | answer | added | Zach Teitler | timeline score: 4 | |
| Feb 14, 2020 at 1:03 | comment | added | Igor Rivin | Answered here? math.stackexchange.com/questions/428205/… | |
| Feb 13, 2020 at 23:55 | comment | added | Abdelmalek Abdesselam | oops you're right got mixed up between what is dimension and what is codimension | |
| Feb 13, 2020 at 23:49 | comment | added | Powerspawn | @AbdelmalekAbdesselam The hyperplanes have codimension $1$, so each intersection reduces the dimension of $V$ by $1$, so we need to intersect with $d$ hyperplanes total. | |
| Feb 13, 2020 at 23:43 | comment | added | Abdelmalek Abdesselam | you mean $n-d$ hyperplanes | |
| Feb 13, 2020 at 23:36 | comment | added | Powerspawn | The definition I'm using is that if $V$ has dimension $d$, then the degree of $V$ is equal to the number of intersection point of $V$ with $d$ hyperplanes in general position. (Including intersections at infinity and intersection multiplicity). | |
| Feb 13, 2020 at 23:32 | comment | added | YCor | How do you define the degree of $V$ of $V$ is not a hypersurface? | |
| Feb 13, 2020 at 23:30 | review | First posts | |||
| Feb 14, 2020 at 0:23 | |||||
| Feb 13, 2020 at 23:29 | history | asked | Powerspawn | CC BY-SA 4.0 |