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Tables of Calabi--Yau equations

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arxiv math/0507430 v2 pith:OM36GP6Z submitted 2005-07-21 math.AG math.CAmath.COmath.NT

Gert Almkvist (Lund) , Christian van Enckevort (Mainz) , Duco van Straten (Mainz) , Wadim Zudilin (Newcastle , NSW) This is my paper · ORCID
classification math.AGmath.CAmath.COmath.NT
keywords calabi--yauequationslisttablestypewhatbelievebriefly
verification ladder T0 review T1 audit T2 compute T3 formal
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The main part of this paper is a big table containing what we believe to be a complete list of all fourth order equations of Calabi--Yau type known so far. In the text preceding the tables we explain what a differential equation of Calabi--Yau type is and we briefly discuss how we found these equations. We also describe an electronic version of this list.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Finiteness and the Emergence of Dualities

    hep-th 2024-12 conditional novelty 6.0 of 10

    Finiteness of quantum gravity amplitudes implies moduli spaces have at most Euclidean volume growth, which in turn implies duality groups act semisimply on charge lattices.

  2. Monodromy of Calabi-Yau threefold flops via grade restriction rule and their quantum Kahler moduli

    hep-th 2026-05 unverdicted novelty 5.0 of 10

    Derives general formula for monodromy action on B-brane charge lattice via hemisphere partition functions in GLSMs and refines it for examples using quantum Kähler discriminant and torus link fundamental groups.

  3. Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity

    hep-th 2025-06 conditional novelty 4.0 of 10

    The thesis performs the first elliptic symbol bootstrap to obtain the symbol of the two-loop twelve-point double box, and identifies the first Calabi-Yau threefold geometry in post-Minkowskian gravitational-wave integrals.

  4. Cohomology and congruences

    math.NT 2024-12 unverdicted novelty 3.0 of 10

    These notes expose the Dwork crystals approach to p-adic cohomology and congruences for algebraic hypersurfaces, with explicit examples and applications in number theory, combinatorics, and Calabi-Yau geometry.

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