The Mixed Hodge Structure of the Complement to an Arbitrary Arrangement of Affine Complex Hyperplanes is Pure
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Publication:4039290
DOI10.2307/2159517zbMath0798.32029OpenAlexW4238731509MaRDI QIDQ4039290
Publication date: 6 November 1994
Full work available at URL: https://doi.org/10.2307/2159517
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Variation of Hodge structures (algebro-geometric aspects) (14D07) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)
Related Items (12)
Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements ⋮ Hodge theory on Alexander invariants -- a survey ⋮ Boundary manifolds of projective hypersurfaces ⋮ Brown's moduli spaces of curves and the gravity operad ⋮ Tropical homology ⋮ Logarithmic cotangent bundles, Chern‐Mather classes, and the Huh‐Sturmfels involution conjecture ⋮ The structure of the tautological ring in genus one ⋮ Brown's dihedral moduli space and freedom of the gravity operad ⋮ The mixed Hodge structure on the fundamental group of a complement of hyperplanes ⋮ Intersection cohomology of the symmetric reciprocal plane ⋮ Cohomology of abelian arrangements ⋮ Lefschetz section theorems for tropical hypersurfaces
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