Degeneration conjecture for isolated A1 singularities

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.

Sources & referencesView supporting material

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.