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arXiv · 1609.04842

Noncommutative resolutions using syzygies

Hailong Dao·Osamu Iyama·Srikanth B. Iyengar·Ryo Takahashi·Michael Wemyss·Yuji Yoshino
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Abstract

Given a noether algebra with a noncommutative resolution, a general construction of new noncommutative resolutions is given. As an application, it is proved that any finite length module over a regular local or polynomial ring gives rise, via suitable syzygies, to a noncommutative resolution.

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Hailong Dao, Osamu Iyama, Srikanth B. Iyengar, Ryo Takahashi, Michael Wemyss, Yuji Yoshino. 2016-09-15. Noncommutative resolutions using syzygies. https://doi.org/10.1112/blms.12210

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