3 papers
math.AG2026
Categorical absorptions of cone singularities
Martin Kalck, Nebojsa Pavic, with a joint appendix by Yujiro Kawamata +1
We study Kuznetsov-Shinder's categorical absorption for certain cone singularities, generalizing their results for nodal singularities. In particular, we give explicit descriptions…
math.AG2026
Fiberwise criteria for Fourier--Mukai equivalences
ElÃas Guisado Villalgordo, Elías Guisado Villalgordo, Pat Lank +2
We study the behavior of integral transforms under base change. In particular, we establish a yoga of local algebra and fibers to test for derived equivalences or fully faithfulnes…
math.AG2024
Derived categories of nodal del Pezzo threefolds
Nebojsa Pavic, Evgeny Shinder
We give a complete answer for the existence of Kawamata type semiorthogonal decompositions of derived categories of nodal del Pezzo threefolds. More precisely, we show that nodal d…