  We investigate the swampland distance conjecture (SDC) in the complex moduli
space of type II compactifications on one-parameter Calabi-Yau threefolds. This
class of manifolds contains hundreds of examples and, in particular, a subset
of 14 geometries with hypergeometric differential Picard-Fuchs operators. Of
the four principal types of singularities that can occur - specified by their
limiting mixed Hodge structure - only the K-points and the large radius points
(or more generally the M-points) are at infinite distance and therefore of
interest to the SDC. We argue that the conjecture is fulfilled at the K- and
the M-points, including models with several M-points, using explicit
calculations in hypergeometric models which contain typical examples of all
these degenerations. Together with previous work on the large radius points,
this suggests that the SDC is indeed fulfilled for one-parameter Calabi-Yau
spaces.
