$p$-adic Berglund-Hübsch Duality
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2014
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| _version_ | 1866910339502702592 |
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| author | Aldi, Marco Peruničić, Andrija |
| author_facet | Aldi, Marco Peruničić, Andrija |
| contents | Berglund-Hübsch duality is an example of mirror symmetry between orbifold Landau-Ginzburg models. In this paper we study a D-module-theoretic variant of Borisov's proof of Berglund-Hübsch duality. In the $p$-adic case, the D-module approach makes it possible to endow the orbifold chiral rings with the action of a non-trivial Frobenius endomorphism. Our main result is that the Frobenius endomorphism commutes with Berglund-Hübsch duality up to an explicit diagonal operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1409_5017 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | $p$-adic Berglund-Hübsch Duality Aldi, Marco Peruničić, Andrija Mathematical Physics Algebraic Geometry Number Theory Berglund-Hübsch duality is an example of mirror symmetry between orbifold Landau-Ginzburg models. In this paper we study a D-module-theoretic variant of Borisov's proof of Berglund-Hübsch duality. In the $p$-adic case, the D-module approach makes it possible to endow the orbifold chiral rings with the action of a non-trivial Frobenius endomorphism. Our main result is that the Frobenius endomorphism commutes with Berglund-Hübsch duality up to an explicit diagonal operator. |
| title | $p$-adic Berglund-Hübsch Duality |
| topic | Mathematical Physics Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/1409.5017 |