Bubbling limits of non collapsing polarized K3 surfaces

TL;DR

This paper characterizes bubbling limits of polarized K3 surfaces using period mapping, confirming conjectures and linking limits to algebro-geometric data.

Contribution

It provides an explicit description of bubbling limits for polarized K3 surfaces, connecting them to algebro-geometric data and confirming related conjectures.

Findings

Bubbling limits depend only on algebro-geometric data.

Confirmed Odaka's candidate as genuine bubbling limits.

Provided a complete description via period mapping.

Abstract

We give an explicit and complete description of bubbling limits of a non-collapsing limit of polarized K3 surfaces in terms of the period mapping. In particular, we show that bubbling limits only depend on algebro-geometric data of the given family. As a corollary, this gives an affirmative answer to a conjecture of de Borbon--Spotti and confirms that Odaka's algebro-geometric candidate gives genuine bubbling limits in K3 surfaces case.