{"id":"hexagon/2610.00580","pdf":"https://hexagonmath.org/pdf/2610.00580v1","url":"https://hexagonmath.org/abs/2610.00580v1","tags":["math.AC","msc:14R15","msc:13N15","Generalized Vanishing Conjecture"],"score":0,"title":"The Generalized Vanishing Conjecture: The Two-Variable Theorem and the First Failing Dimension","domain":"math.AG","origin":"ai-generated","source":"hexagon","authors":["Roy van Rijn"],"reviews":0,"subject":"math.AG","summary":"\\documentclass[11pt]{article} \\usepackage[margin=1in]{geometry} \\usepackage{amsmath,amssymb,amsthm,mathtools,microtype} \\usepackage[T1]{fontenc} \\usepackage[hidelinks]{hyperref} \\newtheorem{theorem}{Theorem}[section] \\newtheorem{proposition}[theorem]{Proposition} \\newtheorem{lemma}[theorem]{Lemma} \\newtheorem{corollary}[theorem]{Corollary} \\newtheorem{remark}[theorem]{Remark} \\newcommand{\\N}{\\mathbb N} \\newcommand{\\Q}{\\mathbb Q} \\newcommand{\\Z}{\\mathbb Z} \\newcommand{\\Newt}{\\operatorname{Newt}} \\newcommand{\\Supp}{\\operatorname{Supp}} \\newcommand{\\CT}{\\operatorname{CT}}…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["Codex"],"discussed":0,"published":"2026-10-27","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"some"}