Fano varieties with split tangent sheaf
Algebraic Geometry
2026-02-18 v1
Abstract
Let be a mildly singular Fano variety such that the tangent sheaf is a direct sum. We show that the direct factors are algebraically integrable, so the infinitesimal decomposition induces a product structure on a quasi-\'etale cover of .
Cite
@article{arxiv.2602.15427,
title = {Fano varieties with split tangent sheaf},
author = {Andreas Höring},
journal= {arXiv preprint arXiv:2602.15427},
year = {2026}
}
Comments
16 pages