Timeline for "Exceptional components" of the exceptional divisor of a blow up
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Feb 24, 2015 at 4:38 | comment | added | pinaki | @KarlSchwede: yes, $\overline{\lbrace P \rbrace} \neq V$, and you are right in all other counts. | |
| Feb 24, 2015 at 4:23 | comment | added | Karl Schwede | I'm not sure about the term algorithm here. Certainly blowing up is algorithmic, I'm sure I could write a Macaulay2 function say that checked this for a fixed $I$ and $P$. Indeed, this probably already mostly exists via functions already implemented around reesAlgebra. It sounds like what you really want though is to show that for some sufficiently carefully chosen $I$, you can avoid any component mapping to a point $P \in V$. I would guess that this is probably possible (assuming $\overline{\{ P \}} \neq V$) but I don't have any idea how to do it... | |
| Feb 24, 2015 at 4:14 | history | asked | pinaki | CC BY-SA 3.0 |