The 50th anniversary of Gröbner bases. Proceedings of the 8th Mathematical Society of Japan-Seasonal Institute (MSJ-SI 2015), Osaka, Japan, July 1–10, 2015.

*(English)*Zbl 1404.13003
Advanced Studies in Pure Mathematics
77. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-052-5/hbk). 436 p. (2018).

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The articles of this volume will be reviewed individually. For the preceding conference see [Zbl 1380.20002].

Indexed articles:

Abbott, John; Bigatti, Anna Maria, Gröbner bases for everyone with CoCoA-5 and CoCoALib, 1-24 [Zbl 1411.13001]

Buchberger, Bruno, Gröbner bases computation by triangularizing Macaulay matrices, 25-33 [Zbl 1458.13029]

Drton, Mathias, Algebraic problems in structural equation modeling, 35-86 [Zbl 1411.62128]

Fassino, Claudia; Möller, Hans Michael; Riccomagno, Eva, BM algorithms for noisy data and implicit regression modeling, 87-107 [Zbl 1411.13040]

Gross, Elizabeth; Petrović, Sonja; Richards, Donald; Stasi, Despina, The multiple roots phenomenon in maximum likelihood estimation for factor analysis, 109-119 [Zbl 1411.62058]

Higashitani, Akihiro; Kimura, Kyouko, A necessary condition for an edge ring to satisfy Serre’s condition (\(S_2\)), 121-128 [Zbl 1411.13034]

Hillar, Christopher J.; Krone, Robert; Leykin, Anton, Equivariant Gröbner bases, 129-154 [Zbl 1411.13029]

Kohl, Florian; Li, Yanxi; Rauh, Johannes; Yoshida, Ruriko, Semigroups – a computational approach, 155-170 [Zbl 1437.11166]

Meshkat, Nicolette; Rosen, Zvi; Sullivant, Seth, Algebraic tools for the analysis of state space models, 171-205 [Zbl 1411.13039]

Michałek, Mateusz, Selected topics on toric varieties, 207-252 [Zbl 1411.14057]

Oaku, Toshinori, Algorithms for \(D\)-modules, integration, and generalized functions with applications to statistics, 253-352 [Zbl 1411.13037]

Oaku, Toshinori, Localization, local cohomology, and the \(b\)-function of a \(D\)-module with respect to a polynomial, 353-398 [Zbl 1411.14023]

Trung, Tran Nam, A characterization of Gorenstein planar graphs, 399-409 [Zbl 1411.13028]

Vidunas, Raimundas; Takemura, Akimichi, Differential relations for the largest root distribution of complex non-central Wishart matrices, 411-436 [Zbl 1411.60025]

##### MSC:

13-06 | Proceedings, conferences, collections, etc. pertaining to commutative algebra |

13P10 | Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) |

14-06 | Proceedings, conferences, collections, etc. pertaining to algebraic geometry |

14M25 | Toric varieties, Newton polyhedra, Okounkov bodies |

13D45 | Local cohomology and commutative rings |

32S40 | Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects) |

00B25 | Proceedings of conferences of miscellaneous specific interest |