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Timeline for Computing H^2(X, T_X(-\log D))

Current License: CC BY-SA 2.5

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Apr 13, 2017 at 12:58 history edited CommunityBot
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Feb 18, 2011 at 7:39 comment added J.C. Ottem The best reference for computing in M2 is Eisenbud/Sturmfels book on Macaulay2, I think you'll find this online. As for this question, you can define $T_X$ and $N_D$ as sheafification of modules in Macaulay2, see Polizzi's answer (and Eisenbud/Sturmfels). Similarily, you can define the map between them, $T_X \to N_D$ and let $T_X(-\log D)$ as the kernel of this map. This gives you a concrete presentation of $F=T_X(-\log D)$ and you can compute $h^2$ using 'HH^2(F)'.
Feb 18, 2011 at 2:52 comment added SAG1 I have been trying to define such exact sequence in Macaulay2. Can you give me some reference of commands or a little example. Thanks
Feb 16, 2011 at 22:46 vote accept SAG1
Feb 16, 2011 at 16:57 history edited J.C. Ottem CC BY-SA 2.5
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Feb 16, 2011 at 13:28 vote accept SAG1
Feb 16, 2011 at 13:28
Feb 16, 2011 at 13:27 vote accept SAG1
Feb 16, 2011 at 13:28
Feb 15, 2011 at 22:56 history answered J.C. Ottem CC BY-SA 2.5