Suppression of nonrenormalizable terms in the effective superpotential for (blown-up) orbifold compactification Blown‐up theory of evolution science and fundamental problems of the first push Scalar-flat Kähler metrics on blown-up ruled surfaces The Gauge/Gravity Theory of Blown up Four Cycles Anti-self-dual Hermitian metrics on blown-up Hopf surfaces Geometry of families of nodal curves on the blown-up projective plane Ample line bundles on blown up surfaces Triangle-factors in a balanced blown-up triangle Blown-up p-branes and the cosmological constant Very ample line bundles on blown-up projective varieties