  Effective supergravity inflationary models induced by anti-D3 brane
interaction with the moduli fields in the bulk geometry have a geometric
description. The K\"ahler function carries the complete geometric information
on the theory. The non-vanishing bisectional curvature plays an important role
in the construction. The new geometric formalism, with the nilpotent superfield
representing the anti-D3 brane, allows a powerful generalization of the
existing inflationary models based on supergravity. They can easily incorporate
arbitrary values of the Hubble parameter, cosmological constant and gravitino
mass. We illustrate it by providing generalized versions of polynomial chaotic
inflation, T- and E-models of $\alpha$-attractor type, disk merger. We also
describe a multi-stage cosmological attractor regime, which we call cascade
inflation.
