Victor Vuletescu: A restriction theorem for torsion-free sheaves on some elliptic manifolds, p.237-242


We prove that if $X$ is the total space of an elliptic principal bundle $\pi:X\ra B$ which is non-kähler, then the restriction of any torsion-free sheaf on $X$ to the general fiber of $\pi$ is semi-stable.

Key Words: Non-Kähler principal elliptic bundles, holomorphic vector bundles, stable vector bundles.

2000 Mathematics Subject Classification: Primary: 32L05;
Secondary: 32L10.

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