Talk:Coherent duality

Latest comment: 14 years ago by 85.64.96.38 in topic small comment

Please

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Please convert all math to use the math tags. The formulas are unreadable on some browsers otherwise. You can use (almost) all LaTeX code inside math tags. --141.20.53.108 16:01, 3 November 2005 (UTC)Reply

small comment

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"the dualizing sheaf in the Cohen-Macaulay case" - yes, but only if a dualizing complex exists. It is possible that a Cohen-Macaulay ring will not have a dualizing complex, and hence, will not have a dualizing module. Maybe it should be cleared. 85.64.96.38 (talk) 23:11, 27 November 2009 (UTC)Reply

(The material here will probably appear in the "coherent duality" article.)

Given a S-scheme X, the trace morphism is

 

[1]

References

  1. ^ Chatzistamatiou, Andre; Rülling, Kay (2014-04-07). "Vanishing of the higher direct images of the structure sheaf". arXiv:1404.1827.