22 citations · 123 across the 28 of their papers we have counts for
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Indecomposability of derived categories in families
Francesco Bastianelli, Pieter Belmans, Shinnosuke Okawa +1
Using the moduli space of semiorthogonal decompositions in a smooth projective family, introduced by the second, the third and the fourth author, we propose a novel approach to ind…
Higher rank motivic Donaldson-Thomas invariants of via wall-crossing, and asymptotics
Alberto Cazzaniga, Dimbinaina Ralaivaosaona, Andrea T. Ricolfi
We compute, via motivic wall-crossing, the generating function of virtual motives of the Quot scheme of points on , generalising to higher rank a result of Behrend, B…
Framed sheaves on projective space and Quot schemes
Alberto Cazzaniga, Andrea T. Ricolfi
We prove that, given integers , and , the moduli space of torsion free sheaves on with Chern character that are trivia…
Framed motivic Donaldson-Thomas invariants of small crepant resolutions
Alberto Cazzaniga, Andrea T. Ricolfi
For an arbitrary integer , we compute -framed motivic PT and DT invariants of small crepant resolutions of toric Calabi-Yau -folds, establishing a "higher rank" vers…
The equivariant Atiyah class
Andrea T. Ricolfi
Let be a complex scheme acted on by an affine algebraic group . We prove that the Atiyah class of a -equivariant perfect complex on , as constructed by Huybrechts and…
Higher rank K-theoretic Donaldson-Thomas theory of points
Nadir Fasola, Sergej Monavari, Andrea T. Ricolfi
We exploit the critical locus structure on the Quot scheme , in particular the associated symmetric obstruction theory, in ord…
Moduli spaces of semiorthogonal decompositions in families
Pieter Belmans, Shinnosuke Okawa, Andrea T. Ricolfi
To a smooth and proper morphism with quasicompact semiseparated target we associate a sheaf in the étale topology, which takes an affine -scheme to the se…