\(D\)-module techniques for solving differential equations in the context of Feynman integrals

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10)

Cites Work

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Iterative structure of finite loop integrals
Constructive \(D\)-module theory with \texttt{Singular}
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Feynman integrals as A-hypergeometric functions
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Mathematical aspects of scattering amplitudes
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Recursive algorithm for evaluating vertex-type Feynman integrals
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Research-data management planning in the German mathematical community
\texttt{AMFlow}: a Mathematica package for Feynman integrals computation via auxiliary mass flow
Linear PDE with constant coefficients
Anomalous Ward identities for on-shell amplitudes at the conformal fixed point

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