blueprint

- 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 $\mathbb{F}_1$-geometry*, arxiv/1301.0083 - Javier López Peña, Oliver Lorscheid,
*Projective geometry for blueprints*, arxiv/1203.1665 - Claudio Bartocci, Andrea Gentili, Jean-Jacques Szczeciniarz,
*Some remarks on blueprints and $\mathbb{F}_1$-schemes*, (arXiv:1905.01183)

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 $\mathbf{F}_1$, i.e. absolute geometry.

- some speculations on application of Reineke’s theorem on quiver Grassmanians for the world of blue schemes and $\mathbf{F}_1$-schemes: Lieven’s blog

category: algebraic geometry

Last revised on March 30, 2020 at 11:56:51. See the history of this page for a list of all contributions to it.