One-parameter families of multiview varieties via quotient lattices

TL;DR

This paper introduces a new framework for one-parameter families of multi-view varieties using quotient lattices, extending Mustafin varieties, and explores their geometric and combinatorial properties.

Contribution

It develops a novel theory linking quotient lattices over discrete valuation rings to multi-view varieties, generalizing Mustafin varieties.

Findings

Characterization of the geometric limits of these families

Analysis of the combinatorial structure of the limits

Extension of Mustafin varieties to a broader class

Abstract

We develop a novel theory of one-parameter families of multi-view varieties. These families are induced by quotient lattices over discrete valuation rings and generalise the notion of \textit{Mustafin varieties}. We study the geometry and the combinatorics of the limit of these families.