2 citations · 4 across the 4 of their papers we have counts for
5 papers
Good Hilbert functors
Gustav Sædén Ståhl
We introduce the good Hilbert functor and prove that it is algebraic. This functor generalizes various versions of the Hilbert moduli problem, such as the multigraded Hilbert schem…
Total blow-ups of modules and universal flatifications
Gustav Sædén Ståhl
We study the projective spectrum of the Rees algebra of a module, and characterize it by a universal property. As applications, we give descriptions of universal flatifications of…
Gotzmann's persistence theorem for finite modules
Gustav Sædén Ståhl
We prove a generalization of Gotzmann's persistence theorem in the case of modules with constant Hilbert polynomial. As a consequence, we show that the defining equations that give…
Rees algebras of modules and coherent functors
Gustav Sædén Ståhl
We show that several properties of the theory of Rees algebras of modules become more transparent using the category of coherent functors rather than working directly with modules.…
An intrinsic definition of the Rees algebra of a module
Gustav Sædén Ståhl
This paper concerns a generalization of the Rees algebra of ideals due to Eisenbud, Huneke and Ulrich that works for any finitely generated module over a noetherian ring. Their def…