  We study the stabilization of complex structure moduli in Type IIB flux
compactifications by using recent general results about the form of the
superpotential and K\"ahler potential near the boundaries of the moduli space.
In this process we show how vacua with an exponentially small vacuum
superpotential can be realized systematically and understood conceptually
within asymptotic Hodge theory. We distinguish two types of vacua realizing
such superpotentials that differ by the mass scales of the stabilized moduli.
Masses polynomially depending on the moduli arise if the superpotential
contains exponential corrections whose existence is required to ensure the
non-degeneracy of the moduli space metric. We use the fact that such essential
corrections are controlled by asymptotic Hodge theory and have recently been
constructed for all one- and two-moduli asymptotic regimes. These insights
allow us to obtain new vacua near boundaries in complex structure moduli space
that include Seiberg-Witten points. In these examples we find that the scale of
the vacuum superpotential can be bounded from below through the exponential of
the negative D3-brane tadpole.
