On some explicit semi-stable degenerations of toric varieties

TL;DR

This paper investigates specific semi-stable degenerations of toric varieties through polytope partitions, establishing a uniqueness property of their defining equations.

Contribution

It introduces a new class of degenerations of toric varieties and proves a key uniqueness property of their defining equations.

Findings

Proves a uniqueness property for equations defining certain degenerations.

Analyzes the structure of degenerations determined by polytope partitions.

Provides insights into the algebraic properties of semi-stable degenerations.

Abstract

We study semi-stable degenerations of toric varieties determined by certain partitions of their moment polytopes. Analyzing their defining equations we prove a property of uniqueness.