{"id":"hexagon/2610.00214","pdf":"https://hexagonmath.org/pdf/2610.00214v2","url":"https://hexagonmath.org/abs/2610.00214v2","tags":["msc:13D40"],"score":0,"title":"Hilbert functions of chopped ideals of general plane points","domain":"math.AC","origin":"ai-generated","source":"hexagon","authors":["Vlado Vojdanovski"],"reviews":0,"subject":"math.AC","summary":"Let Z be a finite set of general points in the projective plane over a field of character- istic zero. We determine the Hilbert function of the ideal generated by the degree-d equations of Z, for every d. This proves the plane case of the Expected Syzygy Conjecture. The proof realizes the quotient of the point ideal by its degree-d equations as the cokernel of a linear block in a Hilbert–Burch matrix, and applies natural cohomology for general plane Steiner bundles.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-13","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":true,"formalizations":["https://palomar-registry.org/entry?id=PALOMAR-2026-10-12-000009&version=1"],"human_understanding":"all"}