Moduli space of combinatorially equivalent arrangements of hyperplanes and logarithmic Gauss-Manin connections

DOI10.1016/S0166-8641(01)00054-2zbMath1020.52020MaRDI QIDQ5960440

Hiroaki Terao

Publication date: 7 April 2002

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

arrangement of hyperplanesmoduli spaceGauss-Manin connection

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Other hypergeometric functions and integrals in several variables (33C70) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items

Gauss-Manin connections of Schläfli type for hypersphere arrangements., Vanishing and bases for cohomology of partially trivial local systems on hyperplane arrangements, Gauss-Manin connections for arrangements, III Formal connections, Combinatorially equivalent hyperplane arrangements, The theory of multidimensional persistence

Cites Work

• Combinatorics and topology of complements of hyperplanes
• Cohomology of local systems on the complement of hyperplanes
• Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for singular vectors
• Lattice-Isotopic Arrangements are Topologically Isomorphic
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
• 𝛽𝐧𝐛𝐜-bases for cohomology of local systems on hyperplane complements
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