Relative cohomology of bi-arrangements

DOI10.1090/tran/6904zbMath1401.14047arXiv1410.6348OpenAlexW2964255310MaRDI QIDQ5369023

Clément Dupont

Publication date: 11 October 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6348

zbMATH Keywords

arrangementsmixed Hodge structuresrelative cohomology

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Configurations and arrangements of linear subspaces (14N20)

Related Items

Odd zeta motive and linear forms in odd zeta values

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The combinatorial Hopf algebra of motivic dissection polylogarithms
• Mixed Tate motives over \(\mathbb{Z}\)
• A \(K3\) in \(\phi^{4}\)
• Cohomology of graph hypersurfaces associated to certain Feynman graphs
• On motives associated to graph polynomials
• Feynman motives of banana graphs
• Wonderful compactification of an arrangement of subvarieties
• Combinatorics and topology of complements of hyperplanes
• Operads and motives in deformation quantization
• The cohomology ring of the colored braid group
• Mixed Tate motives and multiple zeta values
• Galois symmetries of fundamental groupoids and noncommutative geometry
• A second-order differential equation for the two-loop sunrise graph with arbitrary masses
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• Groupes fondamentaux motiviques de Tate mixte
• Feynman integrals and motives
• Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
• Galois theory, motives and transcendental numbers
• Multiple $\zeta$-motives and moduli spaces $\overline{\mathcal{M}}_{0,n}$
• Motivic Cohomology of Pairs of Simplices
• Corrigendum to “Realization of Voevodsky’s motives”
• One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational
• Mixed Hodge Structures
• Irrationality of infinitely many values of the zeta function at odd integers.
• The Orlik-Solomon model for hypersurface arrangements