Year: 2026
Type: preprint
Abstract: We characterize Griffiths positivity of vector bundles on smooth projective varieties by a finite-dimensional convex condition on first jets of sections of positive twists. A nonzero positive matrix-valued measure annihilated by the adjoint Levi operator gives the dual obstruction. We also give an explicit bundle on an abelian surface that satisfies the first-level condition, but whose complete untwisted evaluation has a differential kernel.
Source: arXiv (Cornell University)
Authors: Du, Yun-Heng, Xie, Song-Yan
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1603846912, G7519385794, G8533620077
OpenAlex ID: W7214093772