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arXiv · 1610.04438

Standard canonical support loci

Giuseppe Pareschi
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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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Giuseppe Pareschi. 2016-10-14. Standard canonical support loci. https://arxiv.org/abs/1610.04438

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