Oliver Lorscheid, The geometry of blueprints. Part I: Algebraic background and scheme theory, arxiv/1103.1745; The geometry of blueprints. Part II: Tits-Weyl models of algebraic groups, arxiv/1201.1324; Blueprints - towards absolute arithmetic, arxiv/1204.3129; A blueprinted view on -geometry, arxiv/1301.0083
Javier López Peña, Oliver Lorscheid, Projective geometry for blueprints, arxiv/1203.1665
Spectra of blueprints glue to blue schemes similarly like spectra of rings glue to algebraic schemes. Blue schemes interpolate between the usual schemes and schemes over , i.e. absolute geometry.
some speculations on application of Reineke’s theorem on quiver Grassmanians for the world of blue schemes and -schemes: Lieven’s blog