Bounding minimal log discrepancies of general arrangement varieties
Algebraic Geometry
2025-11-24 v2
Abstract
The minimal log discrepancy is an invariant of singularities that plays an important role in the birational classification of algebraic varieties. Shokurov conjectured that the minimal log discrepancy can always be bounded from above in terms of the dimension of the variety. We prove this conjecture for general arrangement varieties, a particular class of T-varieties, adding to previous results on this conjecture which include threefolds, toric varieties, and local complete intersection varieties.
Keywords
Cite
@article{arxiv.2503.02681,
title = {Bounding minimal log discrepancies of general arrangement varieties},
author = {Leandro Meier},
journal= {arXiv preprint arXiv:2503.02681},
year = {2025}
}
Comments
18 pages, v2, extended result