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SEMISTABILITY OF RESTRICTED TANGENT BUNDLES AND A QUESTION OF I. BISWAS

PRISKA JAHNKE

Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstrasse 7, D-64289 Darmstadt, Germany

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and

IVO RADLOFF

Fachbereich Mathematik, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany

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https://doi.org/10.1142/S0129167X12501224Cited by:5 (Source: Crossref)

Abstract

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 étale quotient of an abelian variety answering a conjecture of Biswas.

Keywords:

AMSC: 14E30, 14J10, 32J27

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