AN ALGORITHM OF COMPUTING COHOMOLOGY INTERSECTION NUMBER OF HYPERGEOMETRIC INTEGRALS

DOI10.1017/nmj.2021.2OpenAlexW3161236977WikidataQ114117897 ScholiaQ114117897MaRDI QIDQ5078583

Nobuki Takayama, Saiei-Jaeyeong Matsubara-Heo

Publication date: 23 May 2022

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.01253

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) (K3) surfaces and Enriques surfaces (14J28) Other hypergeometric functions and integrals in several variables (33C70) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34) Computational aspects of special functions (33F99)

Related Items (7)

Algorithms for Pfaffian Systems and Cohomology Intersection Numbers of Hypergeometric Integrals ⋮ Homology and cohomology intersection numbers of GKZ systems ⋮ From positive geometries to a coaction on hypergeometric functions ⋮ Macaulay matrix for Feynman integrals: linear relations and intersection numbers ⋮ Real time lattice correlation functions from differential equations ⋮ Intersection numbers from higher-order partial differential equations ⋮ Restrictions of Pfaffian systems for Feynman integrals

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