Symplectic and projective small covers over products of polygons
Algebraic Geometry
2026-05-22 v1 Symplectic Geometry
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~ 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.
Cite
@article{arxiv.2605.22554,
title = {Symplectic and projective small covers over products of polygons},
author = {Suyoung Choi},
journal= {arXiv preprint arXiv:2605.22554},
year = {2026}
}
Comments
20 pages