Timeline for Does the first singular cohomology of an ACM surface vanish?

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Dec 24, 2011 at 9:19	comment	added	Matteo Varbaro		I see. In the title I put ACM surface because it was shorter. This is the case in which dim$(S/I)$ $=$ depth$(S/I)=3$: I cannot answer the question neither in this special case.
Dec 23, 2011 at 18:52	comment	added	Mahdi Majidi-Zolbanin		Yes, $r$ is the codimension of $X$. I think the title of your question led me to think that $X$ was a hypersurface.
Dec 23, 2011 at 18:35	comment	added	Matteo Varbaro		Is $r$ the codimension of $X$? In my question $X$ is not a hypersurface! As I said in one comment I can prove what I asked whenever $X$ is a complete intersection, so this is a particular case. However, if $X$ is a hypersurface, then it is automatically a locally complete intersection. In any case thank you for indicating me the paper of Ogus, I will read it!
Dec 23, 2011 at 17:42	history	answered	Mahdi Majidi-Zolbanin	CC BY-SA 3.0