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Timeline for Sheaves of Principal parts

Current License: CC BY-SA 2.5

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Apr 13, 2017 at 12:58 history edited CommunityBot
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Dec 12, 2012 at 17:57 comment added Martin Brandenburg I had already completed it, but then realized that W. D. Gillam has already done something similar: arxiv.org/pdf/1103.2139.pdf
Dec 12, 2012 at 11:10 comment added Leo Alonso @Martin Brandenburg Ok, I suggest to translate the paper. I'd be interested.
Jul 26, 2010 at 8:13 vote accept Lars
Jul 26, 2010 at 8:09 comment added Lars Oops, apparently you edited and I commented simultaneously.
Jul 26, 2010 at 8:06 comment added Lars Hi Martin, thanks, I forgot about this question. If I remember correctly, I came to the same conclusion as you, but I constructed the global map differently: Let $p_1,p_2$ denote the projections $X\times_S X\rightarrow X$, then $p_i\Delta=id$, for both $i$. So if we pull back the morphisms of sheaves $p_i^{-1}\mathcal{O}_X\rightarrow \mathcal{O}_{X\times X}$ via $\Delta$, we obtain two $f^{-1}(\mathcal{O}_S)$-linear morphisms $\mathcal{O}_X\rightarrow\Delta^{-1}\mathcal{O}_{X\times X}$. This should give the same morphism as your construction.
Jul 26, 2010 at 8:00 history edited Martin Brandenburg CC BY-SA 2.5
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Jul 26, 2010 at 7:35 history edited Martin Brandenburg CC BY-SA 2.5
added 58 characters in body
Jul 25, 2010 at 15:46 history answered Martin Brandenburg CC BY-SA 2.5