The algebra of glued polynomials on an arrangement of hyperplanes

DOI10.1016/0022-4049(94)90065-5zbMath0817.13010OpenAlexW2086926515MaRDI QIDQ1336797

Sergey Yuzvinsky, Christopher O'Connor

Publication date: 8 December 1994

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)90065-5

zbMATH Keywords

arrangement of hyperplanesdepthHilbert-Poincaré seriesseminormal ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Seminormal rings (13F45) Hypersurfaces and algebraic geometry (14J70)

Cites Work

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• A formula for the characteristic polynomial of an arrangement
• Seminormality and cohomology of projective varieties
• Cohen-Macaulay seminormalizations of unions of linear subspaces
• On the Cohen-Macaulay and Buchsbaum property for unions of planes in affine space
• Seminormal graded rings and weakly normal projective varieties
• Coxeter arrangements are hereditarily free
• Flasque sheaves on posets and Cohen-Macaulay unions of regular varieties
• Cohomology of Local Sheaves on Arrangement Lattices
• The First Two Obstructions to the Freeness of Arrangements
• Combinatorics and commutative algebra

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