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The purpose of this paper is two-fold. First we review in detail the geometric aspects of the swampland program for supersymmetric 4d effective theories using a new and unifying language we dub 'domestic geometry', the generalization of special K\"ahler geometry which does not require the underlying manifold to be K\"ahler or have a complex structure. All 4d SUGRAs are described by domestic geometry. As special K\"ahler geometries, domestic geometries carry formal brane amplitudes: when thearXiv:2102.03205v3 fatcat:xfgbhks3kbg4xjniyxryyc5gtq