Timeline for Do there exist weak Lefschetz-type statements that were proved for varieties over complex numbers, but were not proved in finite characteristic?
Current License: CC BY-SA 3.0
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| Jan 19, 2012 at 17:19 | comment | added | Mikhail Bondarko | Thank you, Denis! This is an interesting paper; yet it seems that all of its Weak Lefschetz type-results are only stated for generic hyperplane sections. The setting of arbitrary hyperplane sections is somewhat another (though related) story. | |
| Jan 19, 2012 at 16:08 | comment | added | Denis Chaperon de Lauzières | I'm not really an expert, and you may have looked at that paper already, but there are many weak-Lefschetz type theorems for étale cohomology in Katz's "Affine cohomological transforms..." in JAMS in 1993, including in the Appendix by Deligne. | |
| Jan 19, 2012 at 12:35 | comment | added | David E Speyer | Edited out link to torrent of Lazarsfeld's book. Looking forward to seeing answers to this question. | |
| Jan 19, 2012 at 12:30 | history | edited | David E Speyer | CC BY-SA 3.0 |
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| Jan 19, 2012 at 11:57 | history | asked | Mikhail Bondarko | CC BY-SA 3.0 |