Regularity of $\mathbf {FI}$-modules and local cohomology
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- by Rohit Nagpal, Steven V Sam and Andrew Snowden PDF
- Proc. Amer. Math. Soc. 146 (2018), 4117-4126 Request permission
Abstract:
We resolve a conjecture of Ramos and Li that relates the regularity of an $\mathbf {FI}$-module to its local cohomology groups. This is an analogue of the familiar relationship between regularity and local cohomology in commutative algebra.References
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Additional Information
- Rohit Nagpal
- Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
- MR Author ID: 1088630
- Email: nagpal@math.uchicago.edu
- Steven V Sam
- Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
- MR Author ID: 836995
- ORCID: 0000-0003-1940-9570
- Email: svs@math.wisc.edu
- Andrew Snowden
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
- MR Author ID: 788741
- Email: asnowden@umich.edu
- Received by editor(s): August 16, 2017
- Received by editor(s) in revised form: January 6, 2018
- Published electronically: July 5, 2018
- Additional Notes: The second author was partially supported by NSF grant DMS-1500069.
The third was partially supported by NSF grants DMS-1303082 and DMS-1453893 and a Sloan Fellowship. - Communicated by: Jerzy M. Weyman
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 4117-4126
- MSC (2010): Primary 13D45, 20C30
- DOI: https://doi.org/10.1090/proc/14121
- MathSciNet review: 3834643