{"id":"openai-math/A-high-arity-counterexample-to-Pixton-completeness-in-Chow","pdf":"https://github.com/openai/math/blob/main/preprints/A-high-arity-counterexample-to-Pixton-completeness-in-Chow-September-24-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/A-high-arity-counterexample-to-Pixton-completeness-in-Chow-September-24-2026","tags":["tautological-ring","moduli-spaces","algebraic-geometry"],"score":0,"title":"A high-arity counterexample to Pixton completeness in Chow","domain":"Algebraic and complex geometry","family":"053","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"We disprove the Chow and rational-cohomological forms of Pixton's completeness conjecture for his original relation system. We construct a formal tautological class outside the original Pixton relation span whose image is zero in the Chow ring and in rational cohomology. The example has genus $`10^{60}`$ and $`3\\binom{10^{60}}3`$ markings.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"A counterexample to Pixton completeness in Chow"}