@misc{Hir17, author = {Hironaka, Heisuke}, title = {Resolution of Singularities in Positive Characteristics}, year = {2017}, note = {Preprint dated March 23, 2017, 92 pp.; \url{https://people.math.harvard.edu/~hironaka/pRes.pdf}. Read from the local copy \texttt{refs/hironaka-resolution-of-singularities-in-char-p.pdf} (SHA-256 \texttt{d7bb6db6\ldots 6647382}) of the \texttt{tdupu/dumps} repository} } @article{Hir03, author = {Hironaka, Heisuke}, title = {Theory of infinitely near singular points}, journal = {J. Korean Math. Soc.}, volume = {40}, number = {5}, year = {2003}, pages = {901--920}, note = {Cited as reference [23] of \cite{Hir17}; not opened} } @misc{Hau08, author = {Hauser, Herwig}, title = {Kangaroo points and oblique polynomials in resolution of positive characteristic}, year = {2008}, eprint = {0811.4151}, archiveprefix= {arXiv}, primaryclass = {math.AG}, note = {arXiv:0811.4151v2, 18 Dec 2008; \url{https://arxiv.org/abs/0811.4151}} } @article{Moh87, author = {Moh, Tzuong-Tsieng}, title = {On a stability theorem for local uniformization in characteristic $p$}, journal = {Publ. Res. Inst. Math. Sci.}, volume = {23}, year = {1987}, pages = {965--973}, note = {DOI: 10.2977/prims/1195175867; stability theorem on p.~966, checked in the original PDF at \url{https://ems.press/content/serial-article-files/42412}} } @article{Nar83a, author = {Narasimhan, R.}, title = {Monomial equimultiple curves in positive characteristic}, journal = {Proc. Amer. Math. Soc.}, volume = {89}, year = {1983}, pages = {402--406}, note = {Bibliographic metadata checked against the journal volume contents and the Clay Mathematics Institute bibliography; primary text not opened} } @article{Nar83b, author = {Narasimhan, R.}, title = {Hyperplanarity of the equimultiple locus}, journal = {Proc. Amer. Math. Soc.}, volume = {87}, year = {1983}, pages = {403--408}, note = {Bibliographic metadata checked against the Clay Mathematics Institute bibliography; primary text not opened} } @misc{SageMath, author = {{The Sage Developers}}, title = {{SageMath}, the {S}age {M}athematics {S}oftware {S}ystem ({V}ersion 10.8)}, year = {2025}, note = {\url{https://www.sagemath.org}} } @misc{ClaudeCode, author = {{Anthropic}}, title = {Claude Code}, year = {2026}, note = {Agentic coding tool; models \texttt{claude-opus-5-5} and \texttt{claude-fable-5-1}. \url{https://claude.com/claude-code}} } @misc{Mathcity, author = {Dupuy, Taylor}, title = {mathcity: agent skills for mathematical research and manuscripts}, year = {2026}, note = {\url{https://github.com/tdupu/mathcity/tree/e9a249037bce38b7f360a348bdde97a6f7503ae0} (repository may be private)} } @misc{AgentSkills, author = {Dupuy, Taylor}, title = {agent-skills: frontier-dump and harvest-dumps workflows}, year = {2026}, note = {\url{https://github.com/tdupu/agent-skills/tree/0eb34a5cbaf8f68aed0365467e96bc6d8a7798a1} (repository may be private)} } @misc{OpenAICodex, author = {{OpenAI}}, title = {Codex desktop app}, year = {2026}, note = {\url{https://openai.com/index/introducing-the-codex-app/}, accessed 26 October 2026} } @misc{Python, author = {{Python Software Foundation}}, title = {Python, version 3.13 documentation}, year = {2026}, note = {\url{https://docs.python.org/3.13/}, accessed 26 October 2026} } @misc{Dump, author = {{Claude Code agent (claude-fable-5-1) for Taylor Dupuy}}, title = {Adversarial review of {H}. {H}ironaka, ``{R}esolution of {S}ingularities in {P}ositive {C}haracteristics''}, year = {2026}, note = {AI-generated research record, not human-reviewed: \texttt{report.md}, \texttt{math-audit.md}, \texttt{verify.sage} (sections V1--V4), \texttt{verify-output.txt}, \texttt{search\_constant\_ridge*.py}; directory \texttt{ai/2026-10-23-hironaka-char-p-resolution-review/} of \url{https://github.com/tdupu/dumps} (repository may be private)} } @misc{Checks, author = {{Claude Code agent (claude-opus-5-5) for Taylor Dupuy}}, title = {Coordinator checks for the harvest of the {H}ironaka review}, year = {2026}, note = {SageMath 10.8 scripts \texttt{integral\_closure\_check.sage}, \texttt{followup\_all\_p.sage}, \texttt{kangaroo\_narasimhan\_check.sage} and their outputs; directory \texttt{latex/hironaka-char-p-counterexamples/harvest/checks/} of \url{https://github.com/tdupu/dumps} (repository may be private)} }