Partial resolution by toroidal blow-ups
J\'anos Koll\'ar (Princeton Univ)
TL;DR
This paper investigates the extent to which non-toroidal ideal sheaves can be improved through sequences of toroidal blow-ups, providing new insights into the resolution process.
Contribution
It offers a detailed analysis of partial resolution of ideal sheaves via toroidal blow-ups, answering a question posed by Keel and building on previous work by Tevelev and Ulirsch.
Findings
Quantifies the improvement achievable by toroidal blow-ups
Provides conditions under which partial resolution is possible
Extends previous results on toroidal modifications
Abstract
We answer a question of Keel: How much can one improve a non-toroidal ideal sheaf by a sequence of toroidal blow-ups? Version2: Corollary 5 was proved earlier by Tevelev and Ulirsch.
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