Symplectic and projective small covers over products of polygons
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914588280225792 |
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| author | Choi, Suyoung |
| author_facet | Choi, Suyoung |
| contents | We study symplectic and projective structures on small covers over products of polygons. We introduce the factor-compatible class for small covers over products of polygons and prove that every factor-compatible small cover admits a smooth projective model as a finite quotient of a product of curves. Furthermore, we show that the graded mod~$2$ cohomology ring determines the Hodge diamond of the associated projective model. We also prove that every factor-compatible small cover admits an iterated equivariant bundle structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_22554 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symplectic and projective small covers over products of polygons Choi, Suyoung Algebraic Geometry Symplectic Geometry Primary 57S12, 53D05, Secondary 14M25, 52B11, 14C30 We study symplectic and projective structures on small covers over products of polygons. We introduce the factor-compatible class for small covers over products of polygons and prove that every factor-compatible small cover admits a smooth projective model as a finite quotient of a product of curves. Furthermore, we show that the graded mod~$2$ cohomology ring determines the Hodge diamond of the associated projective model. We also prove that every factor-compatible small cover admits an iterated equivariant bundle structure. |
| title | Symplectic and projective small covers over products of polygons |
| topic | Algebraic Geometry Symplectic Geometry Primary 57S12, 53D05, Secondary 14M25, 52B11, 14C30 |
| url | https://arxiv.org/abs/2605.22554 |