{"id":"hexagon/2610.00617","pdf":"https://hexagonmath.org/pdf/2610.00617v1","url":"https://hexagonmath.org/abs/2610.00617v1","tags":["msc:14J60"],"score":0,"title":"Natural Cohomology of General Steiner Bundles","domain":"math.AC","origin":"ai-generated","source":"hexagon","authors":["Vlado Vojdanovski"],"reviews":0,"subject":"math.AC","summary":"We prove that a general Steiner bundle on projective space over a field of characteris- tic zero has natural cohomology. The proof constructs a matrix of linear forms from multiplication of sections on a curve. When the rank exceeds the dimension of the projective space, a finite étale isogeny of elliptic curves splits the bundles controlling the graded kernels and cokernels into line bundles of equal degree. Choosing the auxiliary line bundle outside a finite set gives maximal rank in every degree. A rational curve provides the boundary case. Two open rank conditions then yield the…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-29","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":true,"formalizations":["https://palomar-registry.org/entry?id=PALOMAR-2026-10-28-000024&version=1"],"human_understanding":"some"}