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Algebraic characterization of differential operators of Calabi-Yau type

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arxiv 1304.5434 v1 pith:IEU6NXXY submitted 2013-04-19 math.AG

classification math.AG
keywords algebraiccalabi-yaucharacterizationdifferentialoperatorsattacheddiscussfamilies
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We give an algebraic characterization of Picard-Fuchs operators attached to families of Calabi-Yau manifolds with a point of maximally unipotent monodromy and discuss possibilities for their differential Galois groups.

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Cited by 3 Pith papers

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    Multiloop sunset integrals in D=2 are expressed as convergent sums of symmetric polynomials in logarithms of mass ratios, with a dimension-raising operator that propagates the result to D=4-2ε.

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    At 5PM-1SF order, Calabi-Yau three-fold periods emerge in radiation-reacted observables for classical black hole scattering computed with worldline QFT and advanced IBP/DE methods.

  3. Calabi-Yau Feynman integrals in gravity: $\varepsilon$-factorized form for apparent singularities

    hep-th 2024-12 conditional novelty 7.0 of 10

    An extended ansatz for canonical differential equations handles epsilon-dependent apparent singularities and yields an epsilon-factorized form for the four-loop Calabi-Yau Feynman integral relevant to 5PM black-hole s...

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