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Perverse filtrations and Fourier transforms
Davesh Maulik, Junliang Shen, Qizheng Yin
We study the interaction between Fourier-Mukai transforms and perverse filtrations for a certain class of dualizable abelian fibrations. Multiplicativity of the perverse filtration…
math.AG2023
Fourier-Mukai transforms and the decomposition theorem for integrable systems
Davesh Maulik, Junliang Shen, Qizheng Yin
We study the interplay between the Fourier-Mukai transform and the decomposition theorem for an integrable system . Our main conjecture is that the Fourier-Muka…