English

Singular Log Structures and Log Crepant Log Resolutions I

Algebraic Geometry 2025-03-17 v1 Combinatorics

Abstract

We introduce a class of singular log schemes in three dimensions and conjecture that log schemes in this class admit log crepant log resolutions. We provide examples as evidence and relate this conjecture to the conjecture made in [4] and the Gross--Siebert program.

Keywords

Cite

@article{arxiv.2503.11610,
  title  = {Singular Log Structures and Log Crepant Log Resolutions I},
  author = {Alessio Corti and Tim Graefnitz and Helge Ruddat},
  journal= {arXiv preprint arXiv:2503.11610},
  year   = {2025}
}

Comments

15 pages, 6 figures

R2 v1 2026-06-28T22:20:55.871Z