The Second Mathematical Society of Japan–Seasonal Institute — Arrangements of Hyperplanes
August 1–13, 2009 | Hokkaido University, Sapporo, Japan
Arrangements of Hyperplanes — Sapporo 2009

Editor(s) Hiroaki Terao, Sergey Yuzvinsky

Adv. Stud. Pure Math., 62: 570pp. (2012). DOI: 10.2969/aspm/06210000
TABLE OF CONTENTS
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Advanced Studies in Pure Mathematics Vol. 62, - (2012).
Hiroaki Terao , Sergey Yuzvinsky
Advanced Studies in Pure Mathematics Vol. 62, - (2012).
Advanced Studies in Pure Mathematics Vol. 62, - (2012).
Advanced Studies in Pure Mathematics Vol. 62, - (2012).
Kazuhiko Aomoto
Advanced Studies in Pure Mathematics Vol. 62, 1-26 (2012). https://doi.org/10.2969/aspm/06210001
KEYWORDS: Hypersphere arrangement, configuration matrix, hypergeometric integrals, twisted de Rham cohomology, real and imaginary cycles, 32S22, 14F40, 33C70, 52C35
Graham Denham , Mathias Schulze
Advanced Studies in Pure Mathematics Vol. 62, 27-57 (2012). https://doi.org/10.2969/aspm/06210027
KEYWORDS: Hyperplane arrangement, logarithmic differential form, Poincaré polynomial, Chern class, 32S22, 52C35, 16W25
Antoine Deza , Hiroyuki Miyata , Sonoko Moriyama , Feng Xie
Advanced Studies in Pure Mathematics Vol. 62, 59-74 (2012). https://doi.org/10.2969/aspm/06210059
KEYWORDS: Simple hyperplane arrangements, average diameter, Hirsch conjecture, oriented matroids, 52C35, 90C05
Daniel C. Cohen , Graham Denham , Michael Falk , Alexander Varchenko
Advanced Studies in Pure Mathematics Vol. 62, 75-107 (2012). https://doi.org/10.2969/aspm/06210075
KEYWORDS: Arrangement of hyperplanes, master function, critical locus, resonance variety, Orlik–Solomon algebra, tropicalization, 32S22, 55N25, 52C35, 14T04
Yoshishige Haraoka
Advanced Studies in Pure Mathematics Vol. 62, 109-136 (2012). https://doi.org/10.2969/aspm/06210109
KEYWORDS: Rigid local system, integrable system, 58A17, 33C65
Hironobu Kimura
Advanced Studies in Pure Mathematics Vol. 62, 137-155 (2012). https://doi.org/10.2969/aspm/06210137
KEYWORDS: Hypergeometric, de Rham cohomology, Radon transform, 33C70, 44A12
Toshitake Kohno
Advanced Studies in Pure Mathematics Vol. 62, 157-174 (2012). https://doi.org/10.2969/aspm/06210157
KEYWORDS: Hyperplane arrangement, Salvetti complex, local system, KZ connection, conformal field theory, braid group, configuration space, iterated integral, 20F36, 52C35, 33C60
Anatoly Libgober
Advanced Studies in Pure Mathematics Vol. 62, 175-187 (2012). https://doi.org/10.2969/aspm/06210175
KEYWORDS: Arrangements, combinatorial invariance, Milnor fiber, Catalan equation, 14H30, 32S22, 52B30, 11F23
Eduard Looijenga
Advanced Studies in Pure Mathematics Vol. 62, 189-231 (2012). https://doi.org/10.2969/aspm/06210189
KEYWORDS: KZ system, polydifferentials, highest weight module, 32G34, 14D07
Katsuhisa Mimachi
Advanced Studies in Pure Mathematics Vol. 62, 233-260 (2012). https://doi.org/10.2969/aspm/06210233
KEYWORDS: Rigid local system, Yokoyama's classification, 33C70, 34M35
Jorge Vitório Pereira
Advanced Studies in Pure Mathematics Vol. 62, 261-291 (2012). https://doi.org/10.2969/aspm/06210261
KEYWORDS: Web geometry, abelian relations, hyperplane arrangements, resonance varieties, 52C35, 53A60
Francesca Mori , Mario Salvetti
Advanced Studies in Pure Mathematics Vol. 62, 293-321 (2012). https://doi.org/10.2969/aspm/06210293
KEYWORDS: Arrangements of subspaces, Discrete Morse Theory, 58K65
Hal Schenck
Advanced Studies in Pure Mathematics Vol. 62, 323-358 (2012). https://doi.org/10.2969/aspm/06210323
KEYWORDS: 52C35, 13D02, 16E05, 16S37, 20F14
Alexander I. Suciu
Advanced Studies in Pure Mathematics Vol. 62, 359-398 (2012). https://doi.org/10.2969/aspm/06210359
KEYWORDS: Free abelian cover, characteristic variety, resonance variety, tangent cone, Dwyer–Fried set, special Schubert variety, toric complex, Kähler manifold, hyperplane arrangement, 20J05, 55N25, 14F35, 32S22, 55R80, 57M07
Hidehiko Kamiya , Akimichi Takemura , Norihide Tokushige
Advanced Studies in Pure Mathematics Vol. 62, 399-415 (2012). https://doi.org/10.2969/aspm/06210399
KEYWORDS: All-subset arrangement, braid arrangement, chamber, characteristic polynomial, finite field method, hyperplane arrangement, intersection poset, mid-hyperplane arrangement, partition lattice, ranking pattern, unfolding model, 32S22, 52C35, 62F07
Dai Tamaki
Advanced Studies in Pure Mathematics Vol. 62, 417-457 (2012). https://doi.org/10.2969/aspm/06210417
KEYWORDS: Salvetti complex, braid arrangement, loop space, 52C35, 55P35
Tomohide Terasoma
Advanced Studies in Pure Mathematics Vol. 62, 459-474 (2012). https://doi.org/10.2969/aspm/06210459
KEYWORDS: Fano variety, Fermat hypersurface, 14C05, 52C35, 14J70
Eugene Mukhin , Vitaly Tarasov , Alexander Varchenko
Advanced Studies in Pure Mathematics Vol. 62, 475-511 (2012). https://doi.org/10.2969/aspm/06210475
KEYWORDS: Bethe algebra, Bethe anzats, Bethe vector averaging map, master function, critical points, Wronsky map, 82B23, 17B80, 32S22
Anurag K. Singh , Uli Walther
Advanced Studies in Pure Mathematics Vol. 62, 513-521 (2012). https://doi.org/10.2969/aspm/06210513
KEYWORDS: Bockstein, local cohomology, Lyubeznik conjecture, Stanley-Reisner, 13D45, 13F20, 13F55
Masahiko Yoshinaga
Advanced Studies in Pure Mathematics Vol. 62, 523-552 (2012). https://doi.org/10.2969/aspm/06210523
KEYWORDS: Arrangements, logarithmic vector fields, adjoint quotient, 32S22, 05E14, 20F55
Sergey Yuzvinsky
Advanced Studies in Pure Mathematics Vol. 62, 553-570 (2012). https://doi.org/10.2969/aspm/06210553
KEYWORDS: 52C35, 05B35, 16E05, 15A75
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