8 citations · 8 across the 3 of their papers we have counts for
12 papers
Motivic and cohomological stabilisation of the Quot scheme of points
Michele Graffeo, Sergej Monavari, Riccardo Moschetti +1
We prove that the motive of the punctual Quot scheme stabilises, when , to $[\mathrm{Gr}(d-1,\infty)]\cdot \s…
Derived hyperquot schemes
Sergej Monavari, Emanuele Pavia, Andrea T. Ricolfi
We define a derived enhancement of the hyperquot scheme (also known as nested Quot scheme), which classically parametrises flags of quotients of a perfect coherent sheaf on a proje…
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 s…
Deformation theory for a morphism in the derived category with fixed lift of the codomain
Pieter Belmans, Wendy Lowen, Shinnosuke Okawa +1
We develop the deformation-obstruction calculus for morphisms of complexes with a fixed lift of the codomain, to derived categories of flat nilpotent deformations of abelian catego…
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…
On the stack of 0-dimensional coherent sheaves: motivic aspects
Barbara Fantechi, Andrea T. Ricolfi
Let be a variety. In this survey, we study (decompositions of) the motivic class, in the Grothendieck ring of stacks, of the stack of -dimensional coher…