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SUBCOMPLEXES OF CERTAIN FREE RESOLUTIONS
Published online by Cambridge University Press: 25 March 2024
Abstract
We invoke the Bernstein–Gel$'$fand–Gel
$'$fand (BGG) correspondence to study subcomplexes of free resolutions given by two well-known complexes, the Koszul and the Eagon–Northcott. This approach provides a complete characterization of the ranks of free modules in a subcomplex in the Koszul case and imposes numerical restrictions in the Eagon–Northcott case.
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- © The Author(s), 2024. Published by Cambridge University Press on behalf of Foundation Nagoya Mathematical Journal
Footnotes
The first author was partially supported by the National Science Foundation (Grant No. DMS-1902123).
References
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