Degeneration conjecture for isolated A1 singularities

About 22 years old · traced to

Let Rv(t)R_{\mathbf{v}}(t) be a contribution to the zeta function associated with a monomial class v\mathbf{v}, and let deg⁡(Rv)\operatorname{deg}(R_{\mathbf{v}}) denote its rational-function degree. An isolated A1A_1 singularity is an ordinary double point, also called a conifold point. Isolated-A1A_1 degeneration conjecture. At an isolated A1A_1 singularity, the degree of every contribution decreases by exactly 11. The source provides computational evidence through the displayed degeneration table, but no resolution status.

References

Primary source

Shabnam N. Kadir, “The Arithmetic of Calabi–Yau Manifolds and Mirror Symmetry”, arXiv:hep-th/0409202 (2004).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.