13 citations · 16 across the 7 of their papers we have counts for
8 papers
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…
Fiberwise criteria for Fourier--Mukai equivalences
Elías Guisado Villalgordo, Pat Lank, Kabeer Manali Rahul +1
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…
Obstructions to semiorthogonal decompositions for singular projective varieties II: Representation theory
Martin Kalck, Carlo Klapproth, Nebojsa Pavic
We show that odd-dimensional projective varieties with tilting objects and only ADE-hypersurface singularities are nodal, i.e. they only have -singularities. This is a very sp…
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…
The diagonal of quartic fivefolds
Nebojsa Pavic, Stefan Schreieder
We show that a very general quartic hypersurface in over a field of characteristic different from 2 does not admit a decomposition of the diagonal, hence is not retr…
Obstructions to semiorthogonal decompositions for singular threefolds I: K-theory
Martin Kalck, Nebojsa Pavic, Evgeny Shinder
We investigate necessary conditions for Gorenstein projective varieties to admit semiorthogonal decompositions introduced by Kawamata, with main emphasis on threefolds with isolate…
K-theory and the singularity category of quotient singularities
Nebojsa Pavic, Evgeny Shinder
In this paper we study Schlichting's K-theory groups of the Buchweitz-Orlov singularity category of a quasi-projective algebraic scheme with application…
On O'Grady's generalized Franchetta conjecture
Nebojsa Pavic, Junliang Shen, Qizheng Yin
We study relative zero cycles on the universal polarized surface of degree . It was asked by O'Grady if the restriction of any class in $\mathrm{…