Timeline for Are projective toric varieties, locally complete intersection?
Current License: CC BY-SA 3.0
9 events
when toggle format | what | by | license | comment | |
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Apr 13, 2011 at 17:12 | vote | accept | Mohammad Farajzadeh-Tehrani | ||
Apr 13, 2011 at 17:12 | |||||
Apr 13, 2011 at 2:00 | comment | added | Mohammad Farajzadeh-Tehrani | I just considered a basis for the space of relations. Let me think more on this problem, I'll come back if I found any thing. | |
Apr 12, 2011 at 22:48 | comment | added | David E Speyer | So, why did you think that the ideal should be generated by codimension many elements? | |
Apr 12, 2011 at 21:56 | comment | added | Mohammad Farajzadeh-Tehrani | So I guess may be my comment right after question is wrong and the ideal $I$ is not necessarily always generated by $k-n$ (codimension) elements. I am confused :) | |
Apr 12, 2011 at 21:32 | history | edited | David E Speyer | CC BY-SA 3.0 |
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Apr 12, 2011 at 21:32 | comment | added | David E Speyer | Right. I'm not sure why you think it is weird. The word "local" is in "l.c.i." for a reason. | |
Apr 12, 2011 at 21:29 | comment | added | Mohammad Farajzadeh-Tehrani | So considering all this to be true, The discussion for toric varieties reduces to just one cone $\sigma$ in the fan of toric variety. Then the question is when $Spec \mathbb{C}[\check{\sigma}]$ is l.c.i ?! which is a bit wierd? | |
Apr 12, 2011 at 21:26 | history | edited | David E Speyer | CC BY-SA 3.0 |
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Apr 12, 2011 at 20:56 | history | answered | David E Speyer | CC BY-SA 3.0 |