A restriction theorem for torsion-free sheaves on some elliptic manifolds

2012/12/27 by Victor Vuletescu, Vuletescu, Victor
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1212.6420

arxiv created 2012/12/27 · arxiv updated 2013/01/01

Abstract

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

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