Semistability of logarithmic cotangent bundle on some projective manifolds

Abstract

In this paper, we investigate the semistability of logarithmic de Rham sheaves on a smooth projective variety, under suitable conditions. In particular when the Picard number is one, we obtain results for any log Del Pezzo surface, log Fano threefolds, and for log Fano n-folds of dimension n≤ 6.

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