Timeline for Higher direct images and singularities
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 9, 2011 at 12:53 | comment | added | Rurik | Thanks! Well I will stick to rational singularities then :'(!!!! Again thank you | |
| Sep 8, 2011 at 17:59 | history | edited | Karl Schwede | CC BY-SA 3.0 |
added 707 characters in body
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| Sep 8, 2011 at 14:45 | comment | added | Karl Schwede | Ok, then you may particularly be interested in Lemma 3.3 in the paper of Sandor Kovacs, Rational, Log Canonical, Du Bois Singularities: On the Conjectures of Kollár and Steenbrink. In particular, either by localizing, or taking general hyperplane sections, it shouldn't be hard to get the statements you want. I'll try to edit my answer with specifics. | |
| Sep 8, 2011 at 8:50 | vote | accept | Rurik | ||
| Sep 8, 2011 at 8:50 | comment | added | Rurik | First of all, thank you very much. To answer your question, I need to find out some hypothesis that do not allow these loci to be too big. In particular I want that for every positive $i$ the codimension in $A$ of $R^if_*(\mathcal{O}_Y$ is greater than $i+2$. If $D$ has rational singularities I am ok, but this hypo is somewhat too strong. Certainly $D$ has to be normal. but I really do not know how to manage $i>1$... thank again for your help best regards | |
| Sep 7, 2011 at 16:14 | history | answered | Karl Schwede | CC BY-SA 3.0 |