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math.AG2024
Injectives obstruct Fourier-Mukai functors
Felix Küng
We use injectives as a big tilting object to obstruct liftability of exact functors to the $\dg$-level. We use the inclusion of injectives into the canonical heart as a replacement…
math.AG2022★ 2 cited
Twisted Hodge diamonds give rise to non-Fourier-Mukai functors
Felix Küng
We apply computations of twisted Hodge diamonds to construct an infinite number of non-Fourier-Mukai functors with well behaved target and source spaces. To accomplish this we firs…