arXiv (All)
open access
Stability of vector bundles and reduction mod $p$
Let $E$ be a vector bundle on a normal complex projective variety. We prove that slope stability of $\mathop{Sym}^2E$ and Zariski density of the reductions of $E$ modulo $p$ that are not strongly geometrically stable imply that the bundle $E$ is projectively unitary flat. This generalizes Shepherd--
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Geometry and physics of Higgs bundles#344763
- Structure theorem for log de Rham-Witt sheaves with vanishing#986108
- Equivariant Riemann-Roch for Surfaces via Connections and Residues#1118855
- The Principal Bundle Remains: Gomes' "Gauge theory without Principal Fiber Bundles" merely reinvents Principal Fiber Bundles as their Potential Line Bundle (Frame Bundle)#696126
- Uniform non-homogeneous vector bundles: A counterexample to the conjecture of Drézet and Ballico-Ellia#1355139
Record · ID 1324877
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive