2006/08/02 by Sun, Xiaotao
#Algebraic Geometry (math.AG) #FOS: Mathematics #Primary Algebraic Geometry
paper · doi:10.48550/arxiv.math/0608043
Let X be a smooth projective variety over an algebraically field k with \rm char(k)=p>0 and F:X→ X1 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 \refthm1.3). 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 \refthm2.6).