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Berglund-H\"ubsch mirror symmetry via vertex algebras

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arxiv 1007.2633 v4 pith:VDPVIJAN submitted 2010-07-15 math.AG math.DG

Berglund-H\"ubsch mirror symmetry via vertex algebras

classification math.AG math.DG
keywords berglund-hdualityubschvertexalgebraalgebrasbatyrev-borisovcones
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We give a vertex algebra proof of the Berglund-H\"ubsch duality of nondegenerate invertible potentials. We suggest a way to unify it with the Batyrev-Borisov duality of reflexive Gorenstein cones.

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Cited by 4 Pith papers

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

  1. Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces

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  2. Free-Field Construction of Heterotic String Compactified on Calabi-Yau Orbifolds via Correspondence with $\mathcal{N}{=}2$ SCFT Minimal Models

    hep-th 2026-06 unverdicted novelty 4.0

    Correspondence between free-field and minimal-model constructions for the Calabi-Yau sector of heterotic strings on Berglund-Hübsch orbifolds, with modular invariance verification.

  3. Beyond Algebraic Superstring Compactification: Part II

    hep-th 2026-05 unverdicted novelty 4.0

    Deformations in algebraic superstring models indicate a non-algebraic generalization that aligns with mirror duality requirements.

  4. Beyond Algebraic Solutions to Stringy Spacetime

    hep-th 2026-05 unverdicted novelty 3.0

    Generalizations beyond algebraic geometry in string theory remain aligned with mirror symmetry, support quantitative analysis, and point to deeper symplectic geometry connections.