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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

Hodge Numbers for All CICY Quotients

classification hep-th
keywords hodgenumbersquotientsdiscretemethodarxivbrauncalabi-yau
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 3 Pith papers

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

  1. Exploring Line Bundle Standard Models with Transformers

    hep-th 2026-06 unverdicted novelty 7.0

    A Transformer RL agent is trained to generate valid heterotic line bundle sums on CICYs that satisfy gauge embedding, anomaly cancellation, poly-stability, chirality, and no-exotics constraints.

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

    hep-th 2026-06 unverdicted novelty 5.0

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

  3. Kaleidoscopes, Waves and the Prepotential

    hep-th 2026-06 unverdicted novelty 4.0

    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.