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Proceedings of the American Mathematical Society

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Toward free resolutions over scrolls


Authors: Laura Felicia Matusevich and Aleksandra Sobieska
Journal: Proc. Amer. Math. Soc. 148 (2020), 5071-5086
MSC (2010): Primary 13D02, 16S37; Secondary 16S36, 13F55
DOI: https://doi.org/10.1090/proc/15150
Published electronically: September 24, 2020
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Abstract: Let $ R=\Bbbk [x]/I$ where $ I$ is the defining ideal of a rational normal $ k$-scroll. We compute the Betti numbers of the ground field $ \Bbbk $ as a module over $ R$. For $ k=2$, we give the minimal free resolution of $ \Bbbk $ over $ R$.


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Additional Information

Laura Felicia Matusevich
Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
MR Author ID: 632562
Email: laura@math.tamu.edu

Aleksandra Sobieska
Affiliation: Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin 53706
MR Author ID: 1176078
ORCID: 0000-0002-1150-3725
Email: asobieska@math.wisc.edu

DOI: https://doi.org/10.1090/proc/15150
Received by editor(s): March 28, 2019
Received by editor(s) in revised form: February 24, 2020
Published electronically: September 24, 2020
Additional Notes: The authors were partially supported by NSF grant DMS-1500832.
Communicated by: Jerzy Weyman
Article copyright: © Copyright 2020 American Mathematical Society