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- W4311126908 abstract "The Beauville-Voisin conjecture predicts the existence of a filtration on projective hyper-Kahler manifolds opposite to the conjecture Bloch-Beilinson filtration, called the Beauivlle-Voisin filtration. Voisin has introduced a filtration on zero cycles of an arbitrary projective hyper-Kahler manifold. On moduli space of stable objects of a projective K3 surface, there are other candidates constructed by Shen-Yin-Zhao, Barros-Flapan-Marian-Silversmith and more recently by Vial from different point of views. According to the work of Vial, all of them are proved to be equivalent except Voisin's filtration. In this paper, we show that Voisin's filtration is the same as the other filtrations. As an application, we prove a conjecture in Barros-Flapan-Marian-Silversmith's paper." @default.
- W4311126908 created "2022-12-23" @default.
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- W4311126908 date "2022-01-03" @default.
- W4311126908 modified "2023-10-16" @default.
- W4311126908 title "Beauville-Voisin filtrations on zero cycles of moduli space of stable sheaves on K3 surfaces" @default.
- W4311126908 doi "https://doi.org/10.48550/arxiv.2201.00493" @default.
- W4311126908 hasPublicationYear "2022" @default.
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