Small projective spaces and Stillman uniformity for sheaves

Abstract

We prove an analogue of Ananyan--Hochster's small subalgebra theorem in the context of sheaves on projective space, and deduce from this a version of Stillman's Conjecture for cohomology tables of sheaves. The main tools in the proof are Draisma's GL-noetherianity theorem and the BGG correspondence.

15 pages

References in corpus (1)

• Big polynomial rings and Stillman's conjecture

Cited by in corpus (1)

• Topological Noetherianity of polynomial functors II: base rings with Noetherian spectrum