@inbook{50e6159c76e44924997210c8efa63b46,
title = "Canonical Resolutions over Koszul Algebras",
abstract = "We generalize Buchsbaum and Eisenbud{\textquoteright}s resolutions for the powers of the maximal ideal of a polynomial ring to resolve powers of the homogeneous maximal ideal over graded Koszul algebras. Our approach has the advantage of producing resolutions that are both more explicit and minimal compared to those previously discovered by Green and Mart{\'i}nez-Villa [15] or Mart{\'i}nez-Villa and Zacharia [20].",
keywords = "Betti numbers, Koszul algebra, Minimal free resolution",
author = "Eleonore Faber and Martina Juhnke-Kubitzke and Haydee Lindo and Claudia Miller and G, {Rebecca R.} and Alexandra Seceleanu",
note = "Funding Information: Acknowledgments Our work started at the 2019 workshop “Women in Commutative Algebra” hosted by Banff International Research Station. We thank the organizers of this workshop for bringing our team together. We acknowledge the excellent working conditions provided by BIRS and the support of the National Science Foundation for travel through grant DMS-1934391. We thank the Association for Women in Mathematics for funding from grant NSF-HRD 1500481. Funding Information: In addition, we have the following individual acknowledgements for support: Faber was supported by the European Union{\textquoteright}s Horizon 2020 research and innovation programme under the Marie Sk{\l}odowska-Curie grant agreement No 789580. Miller was partially supported by the NSF DMS-1003384. R.G.{\textquoteright}s travel was partially supported by an AMS-Simons Travel Grant. Seceleanu was partially supported by NSF DMS-1601024. Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2021",
doi = "10.1007/978-3-030-91986-3_11",
language = "English (US)",
series = "Association for Women in Mathematics Series",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "281--301",
booktitle = "Association for Women in Mathematics Series",
address = "Germany",
}