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arXiv · 2605.22554

Symplectic and projective small covers over products of polygons

Suyoung Choi
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Abstract

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.

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Suyoung Choi. 2026-05-21. Symplectic and projective small covers over products of polygons. https://arxiv.org/abs/2605.22554

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