Timeline for On algebraic tubular neighbourhoods and Weak Lefschetz
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 30, 2009 at 22:10 | vote | accept | Mikhail Bondarko | ||
| Nov 30, 2009 at 17:31 | answer | added | blah | timeline score: 1 | |
| Nov 30, 2009 at 13:56 | comment | added | Mikhail Bondarko | Unfortunately, the deformation of the normal cone construction does not seem to help. Roughly, my problem is to find a 'nice' way to 'lift' 'large enough' closed subvarieties of H (this corresponds to $H\setminus (H\cap X)$ in my question) of codimension c to subvarieties of P of the same codimension. In differential geometry one can do this (for submanifolds) using tubular neighbourhoods. Andd it seems that the deformation of the normal cone increases the codimension. Yet thanks; maybe I should think about this further! | |
| Nov 30, 2009 at 13:05 | comment | added | Charles Siegel | You might want to look into the embedding into the normal cone. I know that it acts a lot like a tubular neighborhood in some ways, and it's rather helpful in many intersection theoretic arguments. Fulton describes it in his book "Intersection Theory" | |
| Nov 30, 2009 at 12:33 | history | asked | Mikhail Bondarko | CC BY-SA 2.5 |