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Derived Categories of BHK Mirrors

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arxiv 1602.05876 v2 pith:PVKNZ5JT submitted 2016-02-18 math.AG hep-th

Derived Categories of BHK Mirrors

classification math.AG hep-th
keywords berglund-hubsch-krawitzderivedmirrormirrorsanaloguebirationalitybootstrappingborisov
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We prove a derived analogue to the results of Borisov, Clarke, Kelly, and Shoemaker on the birationality of Berglund-Hubsch-Krawitz mirrors. Heavily bootstrapping off work of Seidel and Sheridan, we obtain Homological Mirror Symmetry for Berglund-Hubsch-Krawitz mirror pencils to hypersurfaces in projective space.

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Cited by 3 Pith papers

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  2. Beyond Algebraic Superstring Compactification: Part II

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

  3. 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.