Articles with "decomposition theorem" as a keyword



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Algebraic approximation and the decomposition theorem for Kähler Calabi–Yau varieties

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Published in 2022 at "Inventiones mathematicae"

DOI: 10.1007/s00222-022-01096-y

Abstract: We extend the decomposition theorem for numerically K-trivial varieties with log terminal singularities to the Kähler setting. Along the way we prove that all such varieties admit a strong locally trivial algebraic approximation, thus completing… read more here.

Keywords: algebraic approximation; decomposition theorem; approximation decomposition;
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Independence of ℓ for the supports in the decomposition theorem

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Published in 2018 at "Duke Mathematical Journal"

DOI: 10.1215/00127094-2017-0059

Abstract: In this note, we prove a result on the independence of $\ell$ for the supports of irreducible perverse sheaves occurring in the Decomposition Theorem, as well as for the family of local systems on each… read more here.

Keywords: independence supports; decomposition theorem; supports decomposition; independence ... See more keywords