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Featured researches published by Lie Fu.


International Mathematics Research Notices | 2014

Beauville–Voisin Conjecture for Generalized Kummer Varieties

Lie Fu

Inspired by their results on the Chow rings of projective K3 surfaces, Beauville and Voisin made the following conjecture: given a projective hyperkahlerhyperk¨hyperkahler manifold, for any algebraic cycle that is a polynomial with rational coefficients of Chern classes of the tangent bundle and line bundles, it is rationally equivalent to zero if and only if it is numerically equivalent to zero. In this paper, we prove the Beauville–Voisin conjecture for generalized Kummer varieties.


Advances in Mathematics | 2013

Decomposition of small diagonals and Chow rings of hypersurfaces and Calabi–Yau complete intersections

Lie Fu


arXiv: Algebraic Geometry | 2016

Motivic HyperK\"ahler Resolution Conjecture for generalized Kummer varieties

Lie Fu; Zhiyu Tian; Charles Vial


arXiv: Algebraic Geometry | 2017

THE GENERALIZED FRANCHETTA CONJECTURE FOR SOME HYPER-KAEHLER VARIETIES

Lie Fu; Robert Laterveer; Charles Vial


arXiv: Algebraic Geometry | 2016

Motivic HyperK\"ahler Resolution Conjecture : I. Generalized Kummer varieties

Lie Fu; Zhiyu Tian; Charles Vial


Mathematical Research Letters | 2012

On the coniveau of certain sub-Hodge structures

Lie Fu


arXiv: Algebraic Geometry | 2018

2-cycles sur les hypersurfaces cubiques de dimension 5

Lie Fu; Zhiyu Tian


arXiv: Algebraic Geometry | 2017

Distinguished cycles on varieties with motive of abelian type and the Section Property

Lie Fu; Charles Vial


arXiv: Algebraic Geometry | 2018

Supersingular irreducible symplectic varieties.

Lie Fu; Zhiyuan Li


arXiv: Algebraic Geometry | 2018

Orbifold products for higher K-theory and motivic cohomology

Lie Fu; Manh Toan Nguyen

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Charles Vial

University of Cambridge

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