Conjecture that every type I geometric transition has a conifold degeneration

A type I geometric transition is a geometric transition of type I, and a conifold degeneration is a degeneration through conifold singularities. The canonical model of a geometric transition is its canonical model, and a primitive conifold transition is a conifold transition with the stated primitive property.

Type I conifold-degeneration conjecture. Every type I geometric transition admits a conifold degeneration. In particular, the canonical model of a type I geometric transition is a primitive conifold transition.

This is one of a list of conjectures concerning the decomposition and factorization of geometric transitions. The supplied text gives no resolution status.

Sources & referencesView supporting material

Primary source

Michele Rossi, “Analytic equivalence of geometric transitions”, arXiv:0807.4110 (2014).

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