Abstract
We consider the union of certain irreducible components of cohomological support loci of the canonical bundle, which we call standard. We prove a structure theorem about them and single out some particular cases, recovering and improving results of Beauville and Chen–Jiang. Finally, as an example of application, we extend to compact Kahler manifolds the classification of smooth complex projective varieties with \(p_1(X)=1\), \(p_3(X)=2\) and \(q(X)=\dim X\).
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