The minimal exponent of cones over smooth complete intersection projective varieties
Algebraic Geometry
2025-03-12 v2
Abstract
We compute the minimal exponent of the affine cone over a complete intersection of smooth projective hypersurfaces intersecting transversely. The upper bound for the minimal exponent is proved, more generally, in the weighted homogeneous setting, while the lower bound is deduced from a general lower bound in terms of a strong factorizing resolution in the sense of Bravo and Villamayor.
Keywords
Cite
@article{arxiv.2404.18289,
title = {The minimal exponent of cones over smooth complete intersection projective varieties},
author = {Qianyu Chen and Bradley Dirks and Mircea Mustaţă},
journal= {arXiv preprint arXiv:2404.18289},
year = {2025}
}
Comments
14 pages; v.2: minor typos fixed to agree with the published version