Corrigendum to “Strength conditions, small subalgebras, and Stillman bounds in degree $\leq 4$”
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- by Tigran Ananyan and Melvin Hochster PDF
- Trans. Amer. Math. Soc. 374 (2021), 8307-8308 Request permission
Original Article: Trans. Amer. Math. Soc. 373 (2020), 4757-4806.
Abstract:
The statement and proof of a proposition, which appeared in Trans. Amer. Math. Soc. 373 (2020), no. 7, 4757–4806, about the locus where strength of a form is at most $k$ are corrected: the locus is constructible but not known to be closed. Needed corrections are made in the proof of another result about strength: the statement of that result is not changed.References
- Tigran Ananyan and Melvin Hochster, Strength conditions, small subalgebras, and Stillman bounds in degree $\leq 4$, Trans. Amer. Math. Soc. 373 (2020), no. 7, 4757–4806. MR 4127862, DOI 10.1090/tran/8060
- T. Ananyan and M. Hochster, Strength conditions, small subalgebras, and Stillman bounds in degree $\leq 4$, arXiv:1610.09268v3 [math.AC].
- Edoardo Ballico, Arthur Bik, Alessandro Oneto, Emanuele Ventura, The set of forms with bounded strength is not closed, arXiv:2012.01237v1 [math.AG].
Additional Information
- Tigran Ananyan
- Affiliation: Altair Engineering, 1820 East Big Beaver Road, Troy, Michigan 48083
- MR Author ID: 902622
- Email: antigran@gmail.com
- Melvin Hochster
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109–1043
- MR Author ID: 86705
- ORCID: 0000-0002-9158-6486
- Email: hochster@umich.edu
- Received by editor(s): June 3, 2020
- Received by editor(s) in revised form: August 5, 2020
- Published electronically: August 30, 2021
- Additional Notes: The second author was partially supported by grants from the National Science Foundation (DMS–0901145 and DMS–1401384).
- © Copyright 2021 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 374 (2021), 8307-8308
- MSC (2020): Primary 13D05, 13F20
- DOI: https://doi.org/10.1090/tran/8300
- MathSciNet review: 4328701