  Supergravity theories at D=4 allow to formulate the Swampland de Sitter
conjectures in the complex field space of scalar components of chiral
multiplets. We formulate the de Sitter and refined de Sitter conjecture by
using the K\"ahler invariant ${\cal G}$-function and explore a class of models
in the Landscape/Swampland scenario which obey and/or violate such conjectures.
Furthermore we give a new construction of single exponential potentials in
supergravity. These depend on a chiral superfield with a K\"ahler potential
parametrizing an SU(1,1)/U(1) geometry. We show that the construction allows
for modifications to supergravity theories causing them to obey the de Sitter
conjectures.
