Semistability of restricted tangent bundles and a question of I. Biswas

Mathematics – Algebraic Geometry

Scientific paper

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13 pages

Scientific paper

Let M be a complex projective manifold with the property that for any compact
Riemann surface C and holomorphic map f: C -> M the pullback of the tangent
bundle of M is semistable. We prove that in this case M is a curve or a finite
etale quotient of an abelian variety answering a conjecture of I. Biswas.

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