22 citations · 123 across the 28 of their papers we have counts for
5 papers · 1 filter
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…
The motive of the Hilbert scheme of points in all dimensions
Michele Graffeo, Sergej Monavari, Riccardo Moschetti +1
We prove a closed formula for the generating function of the motives of punctual Hilbert schem…
On the stack of 0-dimensional coherent sheaves: structural aspects
Barbara Fantechi, Andrea T. Ricolfi
Let be a quasiprojective scheme. In this expository note we collect a series of useful structural results on the stack parametrising -dimensional cohere…
Hyperquot schemes on curves: virtual class and motivic invariants
Sergej Monavari, Andrea T. Ricolfi
Let be a smooth projective curve, a locally free sheaf. Hyperquot schemes on parametrise flags of coherent quotients of with fixed Hilbert polynomial, and offer alt…
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…