Timeline for An analog of Picard-Lefschetz theory for finite coverings in lieu of embeddings
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 26, 2013 at 10:34 | comment | added | Serge Lvovski | @Will: On second thought, you are absolutely right, the standard Picard-Lefshcetz theory is applicable in this situation. So thank you again, I am accepting the answer. | |
| Mar 26, 2013 at 10:32 | vote | accept | Serge Lvovski | ||
| Mar 26, 2013 at 7:10 | comment | added | Serge Lvovski | Will, thank you! So you suggest to choose a general pencil of hyperplanes in $\mathbb P^N$ and to blow up $X$ at the preimage of this pencil's axis. Thus, one obtains a family over $\mathbb P^1$ (with fibers of the form $f^{-1}(H)$) which is going to play the role of L:efschetz pencil. That's right, but this is not a particular case of the standard P-L theory, so one should do the local analysis of monodromy and degenerations: exactly what I hoped that somebody had already done for me:)) | |
| Mar 25, 2013 at 21:16 | history | answered | Will Sawin | CC BY-SA 3.0 |