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math.AG2024
The D-equivalence conjecture for hyper-Kähler varieties via hyperholomorphic bundles
Davesh Maulik, Junliang Shen, Qizheng Yin +1
We show that birational hyper-Kähler varieties of -type are derived equivalent, establishing the D-equivalence conjecture in these cases. The Fourier-Mukai kernels of our…
math.AG2024
Algebraic cycles and Hitchin systems
Davesh Maulik, Junliang Shen, Qizheng Yin
The purpose of this paper is to study motivic aspects of the Hitchin system for . Our results include the following. (a) We prove the motivic decomposition conjectur…
math.AG2024
On generalized Beauville decompositions
Younghan Bae, Davesh Maulik, Junliang Shen +1
Motivated by the Beauville decomposition of an abelian scheme and the "Perverse = Chern" phenomenon for a compactified Jacobian fibration, we study in this paper splittings of the…