Counterexamples to Hironaka's Characteristic-$p$ Resolution: A Report On Queries to Frontier Agents
Created on 23 October 2026, this manuscript draws on a frontier-dump investigation of Hironaka's proposed positive-characteristic resolution method. Taylor Dupuy initiated the queries during his talk How to Use AI in Mathematical Research Effectively at the University of Rochester Number Theory Seminar on that date. The findings were synthesized with harvest-dumps and developed into this manuscript with using-latexpowers. We examine the proposed positive-characteristic resolution mechanism of Hironaka (2017). Its negative-degree pieces are the unit ideal at a closed singular point where, for…
Comments and reviews
No comments yet.
API
curl /api/v1/records/hexagon/2610.00621
curl -X POST /api/v1/records/hexagon/2610.00621/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
-d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/hexagon/2610.00621/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
-d '{"body": "…", "review": true}'