Polymatroidal tilings and the Chow class of linked projective spaces

Fuente: arXiv
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Autores principales: Esteves, Eduardo, Angel, Felipe de Leon Saenz
Formato: Preprint
Publicado: 2025
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author Esteves, Eduardo
Angel, Felipe de Leon Saenz
author_facet Esteves, Eduardo
Angel, Felipe de Leon Saenz
contents Linked projective spaces are quiver Grassmanians of constant dimension one of certain quiver representations, called linked nets, over special class of quivers, called $\mathbb{Z}^n$-quivers. They were recently introduced as a tool for describing schematic limits of families of divisors. They are subschemes of products of projective spaces of the same dimension. It is an open question whether they are degenerations of the (small) diagonal. We show that they have the Chow class of the diagonal.
format Preprint
id arxiv_https___arxiv_org_abs_2508_14799
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Polymatroidal tilings and the Chow class of linked projective spaces
Esteves, Eduardo
Angel, Felipe de Leon Saenz
Algebraic Geometry
Combinatorics
Linked projective spaces are quiver Grassmanians of constant dimension one of certain quiver representations, called linked nets, over special class of quivers, called $\mathbb{Z}^n$-quivers. They were recently introduced as a tool for describing schematic limits of families of divisors. They are subschemes of products of projective spaces of the same dimension. It is an open question whether they are degenerations of the (small) diagonal. We show that they have the Chow class of the diagonal.
title Polymatroidal tilings and the Chow class of linked projective spaces
topic Algebraic Geometry
Combinatorics
url https://arxiv.org/abs/2508.14799