Abstract
We give a new proof of a theorem by Pareschi, Popa and Schnell that the direct image of the canonical bundle of a smooth projective variety along a morphism to an abelian variety admits a Chen-Jiang decomposition, without using the theory of Hodge modules.
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Acknowledgements
I would like to thank my advisor Christian Schnell for suggesting this problem, and all his support and advice. I also thank Ben Wu for many useful discussions, as well as comments on a draft of this paper.
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Villadsen, M.B. Chen-Jiang decompositions for projective varieties, without Hodge modules. Math. Z. 300, 2099–2116 (2022). https://doi.org/10.1007/s00209-021-02851-2
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DOI: https://doi.org/10.1007/s00209-021-02851-2