Stability of direct images under Frobenius morphism
| dc.creator | Sun, Xiaotao | |
| dc.date | 2006-08-02 | |
| dc.date | 2006-08-18 | |
| dc.date.accessioned | 2026-07-07T07:21:17Z | |
| dc.date.available | 2026-07-07T07:21:17Z | |
| dc.description | Let $X$ be a smooth projective variety over an algebraically field $k$ with ${\rm char}(k)=p>0$ and $F:X\to X_1$ be the relative Frobenius morphism. When ${\rm dim}(X)=1$, we prove that $F_*W$ is a stable bundle for any stable bundle $W$ (Theorem \ref{thm1.3}). As a step to study the question for higher dimensional $X$, we generalize the canonical filtration (defined by Joshi-Ramanan-Xia-Yu for curves) to higher dimensional $X$ (Theorem \ref{thm2.6}). | |
| dc.description | 9 pages, latex, the proof of Theorem 2.3 is simplified | |
| dc.identifier | https://arxiv.org/abs/math/0608043 | |
| dc.identifier | http://arxiv.org/abs/math/0608043 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115247 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Primary Algebraic Geometry | |
| dc.title | Stability of direct images under Frobenius morphism | |
| dc.type | text |