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POWERS OF BINOMIAL EDGE IDEALS WITH QUADRATIC GRÖBNER BASES

Part of: Commutative algebra: Homological methods Special varieties Algebraic combinatorics

Published online by Cambridge University Press:  31 March 2021

VIVIANA ENE Open the ORCID record for VIVIANA ENE [Opens in a new window] ,
GIANCARLO RINALDO Open the ORCID record for GIANCARLO RINALDO [Opens in a new window]  and
NAOKI TERAI Open the ORCID record for NAOKI TERAI [Opens in a new window]
VIVIANA ENE*
Affiliation:
Faculty of Mathematics and Computer Science, Ovidius University, Bd. Mamaia 124, 900527Constanta, Romania
GIANCARLO RINALDO
Affiliation:
Department of Mathematics, University of Trento, Via Sommarive, 14 38123 Povo (Trento), Italygiancarlo.rinaldo@unitn.it
NAOKI TERAI
Affiliation:
Department of Mathematics, Okayama University, 3-1-1, Tsushima-naka, Kita-ku, Okayama, 700-8530, Japanterai@okayama-u.ac.jp
*
vivian@univ-ovidius.ro
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Abstract

We study powers of binomial edge ideals associated with closed and block graphs.

MSC classification

Primary: 13D02: Syzygies, resolutions, complexes
Secondary: 05E40: Combinatorial aspects of commutative algebra 14M05: Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
Type
Article
Information
Nagoya Mathematical Journal , Volume 246 , June 2022 , pp. 233 - 255
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Copyright
© (2021) The Authors. The publishing rights in this article are licenced to Foundation Nagoya Mathematical Journal under an exclusive license

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Footnotes

Naoki Terai was supported by the JSPS Grant-in Aid for Scientific Research (C) 18K03244.

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