Spike case of the compatible-extraction conjecture
Spike case of the compatible-extraction conjecture
Let range over the rectangular triangles considered in the classification theorem, and let a zero mutable Laurent polynomial be one of the classified polynomials named Tom, Jerry, Spike or Tyke. Let the compatible-extraction conjecture assert the existence of a compatible collection of divisorial extractions associated with the dual divisibility-step partitions of the polynomial.
Spike-case conjecture. The compatible-extraction conjecture holds for all cases in the classification theorem called Spike.
The paper states that the corresponding conjecture is proved for all cases called Tom, Jerry or Tyke. The Spike cases are singled out as the remaining conjectural family in the supplied text.
Sources & referencesView supporting material
Primary source
Tim Gräfnitz, “Smoothings from zero mutable Laurent polynomials via log resolutions and divisorial extractions”, arXiv:2503.18661 (2025).
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