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Re: Determinant of a Complex

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Mahrud Sayrafi

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Aug 22, 2024, 8:00:25 PM8/22/24
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On Fri, Aug 23, 2024 at 1:58 AM Mahrud Sayrafi <say...@mis.mpg.de> wrote:
Hi all,

I recently learned the definition of the determinant of a complex and wanted to compute some examples. The paper "Resultants and Chow Forms via Exterior Syzygies" references M2 scipts at http://msri.org/people/staff/de/ChowM2scripts, but they don't exist anymore and looking online through web.archive.org and similar didn't help either. (I also asked David and Frank, by the way.)

Does anyone happen to have scripts or other examples or scripts about determinants of complexes?

Thanks,
Mahrud

Friedemann Groh

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Aug 23, 2024, 9:13:52 AM8/23/24
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Hi Mahrud, just a month ago I've uploaded the package "ResultantComplexes.m2" to the M2-Journal. Its documentation includes two examples.

best regards
Friedemann


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Laurent Buse

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Aug 26, 2024, 2:47:37 PM8/26/24
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Hi,

Just for information, there are also functions for computing determinants of complexes in the M2 package « EliminationMatrices ».

Best,
Laurent.

Friedemann Groh

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Aug 30, 2024, 4:08:41 PM8/30/24
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@Laurent: Can I send you the package for resultant complexes? I am interested in your opinion and would like to improve the methods further.

best regards
Friedemann
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