Degeneration-conservation conjecture for coincident singularities
Degeneration-conservation conjecture for coincident singularities
Let be a contribution to the zeta function, and let the degree degeneration measure the decrease in caused by a singularity type. Degeneration-conservation conjecture. When two types of singularity coincide, the total degeneration in degree of each contribution is the sum of the degenerations caused by the individual singularity types. This is presented as a proposed rule for the combined singular loci in the octic family; the source gives 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).
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