Matroids, motives, and a conjecture of Kontsevich.
DOI10.1215/S0012-7094-03-11615-4zbMath1076.14026arXivmath/0012198WikidataQ60326248 ScholiaQ60326248MaRDI QIDQ1872789
Prakash Belkale, Patrick Brosnan
Publication date: 2003
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0012198
generating functionsmatroidstreeszeta functionsmotivesmotivic integrationfinite graphsFeynman integralsalgebraic varieties over finite fields
Trees (05C05) Exact enumeration problems, generating functions (05A15) Feynman diagrams (81T18) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Combinatorial aspects of matroids and geometric lattices (05B35) Varieties over finite and local fields (11G25)
Related Items
Cites Work
- \(SK_ 1\) of an interesting principal ideal domain
- Computational synthetic geometry
- Germs of arcs on singular algebraic varieties and motivic integration
- Spanning trees and a conjecture of Kontsevich
- Counting points on varieties over finite fields related to a conjecture of Kontsevich
- The universal partition theorem for oriented matroids
- On polynomials of spanning trees
- On the matroid stratification of Grassmann varieties, specialization of coordinates, and a problem of N. White
- Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
- Knots and Feynman Diagrams
- On the Abstract Properties of Linear Dependence
- Orthogonal Matrices Over Finite Fields
- Some Interpretations of Abstract Linear Dependence in Terms of Projective Geometry
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item