Timeline for Minimal "subset" of a set of homogeneous polynomials with same solution space
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 4, 2016 at 10:44 | comment | added | JoS | Yes, it's correct that my answer only shows (3) in the special case that the scheme is reduced. | |
| Feb 4, 2016 at 10:12 | comment | added | Max Horn | I'd then still be interested in an answer for the first question, which is the one that is most important to me :) | |
| Feb 4, 2016 at 10:11 | comment | added | Max Horn | So, all in all, it seems your answer is saying: "If the scheme is not fat, then the third question has a positive answer." Correct? | |
| Feb 4, 2016 at 10:09 | comment | added | Max Horn | I intend the classical meaning of the term "variety", i.e. the set of common zeros: $\mathbb{V}(A) = \{ x\in\mathbb{C}^n \mid \forall f\in A: f(x)=0 \}$. And I explicitly need the statement also in the case where the locus is "fat", e.g. if $A=\{ x_1^d, \dots, x_n^d \}$ for any $d>0$ (of course, in that particular case $A$ itself already has size $n$). | |
| Feb 3, 2016 at 14:23 | history | answered | JoS | CC BY-SA 3.0 |