Orbifold Saito theory of A and D type singularities
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908444368306176 |
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| author | Basalaev, Alexey Rarovskii, Anton |
| author_facet | Basalaev, Alexey Rarovskii, Anton |
| contents | Saito theory associates to an isolated singularity rich structure that plays an important role in mirror symmetry. In this note we construct Saito theory for A and D type Landau--Ginzburg orbifolds. Namely, for the pairs $(f,G)$, where $f$ defines an isolated singularity of A and D type and $G$ is a group of symmetries of $f$. In total we consider five families of such pairs. In particular, we construct the orbifold versions of Brieskorn lattice and the Gauss--Manin connection computing them explicitly for the A and D type Landau--Ginzburg orbifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07609 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Orbifold Saito theory of A and D type singularities Basalaev, Alexey Rarovskii, Anton Algebraic Geometry Mathematical Physics Saito theory associates to an isolated singularity rich structure that plays an important role in mirror symmetry. In this note we construct Saito theory for A and D type Landau--Ginzburg orbifolds. Namely, for the pairs $(f,G)$, where $f$ defines an isolated singularity of A and D type and $G$ is a group of symmetries of $f$. In total we consider five families of such pairs. In particular, we construct the orbifold versions of Brieskorn lattice and the Gauss--Manin connection computing them explicitly for the A and D type Landau--Ginzburg orbifolds. |
| title | Orbifold Saito theory of A and D type singularities |
| topic | Algebraic Geometry Mathematical Physics |
| url | https://arxiv.org/abs/2507.07609 |