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Hodge Numbers for All CICY Quotients

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arxiv 1607.01830 v1 pith:M2SFXENF submitted 2016-07-06 hep-th

Andrei Constantin , James Gray , Andre Lukas This is my paper · ORCID
classification hep-th
keywords hodgenumbersquotientsdiscretemethodarxivbrauncalabi-yau
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a general method for computing Hodge numbers for Calabi-Yau manifolds realised as discrete quotients of complete intersections in products of projective spaces. The method relies on the computation of equivariant cohomologies and is illustrated for several explicit examples. In this way, we compute the Hodge numbers for all discrete quotients obtained in Braun's classification arXiv:1003.3235.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 30 citations worldwide. Full citation record

  1. Exploring Line Bundle Standard Models with Transformers

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    A Transformer trained by reinforcement learning generates heterotic line-bundle sums that satisfy anomaly-cancellation, stability, and chirality constraints, and its policy transfers usefully across Calabi-Yau geometries.

  2. Machine Learning Free Quotients of CICYs

    hep-th 2025-08 conditional novelty 6.0 of 10

    Machine-learning classifiers, especially a multi-head attention model, correctly identify almost all free Z2, Z3, Z4, and Z2xZ2 quotients of CICYs on held-out manifolds, with only three missed Z2xZ2 cases.

  3. CIPro Package: Complete Intersections in Products of Projective Spaces and Line Bundles

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    CIPro provides computational tools for complete intersection varieties and line bundles, including consolidated Calabi-Yau data for string theory applications.

  4. Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study

    hep-th 2025-07 conditional novelty 5.0 of 10

    Explicit heterotic line bundle models on a Calabi-Yau threefold are fitted to reproduce Standard Model quark and charged lepton masses and CKM mixing.

  5. Kaleidoscopes, Waves and the Prepotential

    hep-th 2026-06 unverdicted novelty 4.0 of 10

    Coxeter symmetries from isomorphic flops in Kähler-favorable CICYs make the 4D N=2 prepotential solve the Helmholtz equation on the moduli space, enabling resummed expressions from worldsheet instantons.

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