2012/10/15 by Dmitry Trushin, Trushin, Dmitry
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1210.4176
We extend to pairs classical results of R. Elkik on lifting of homomorphisms and algebraization. In particular, we establish algebraization of an affine rig-smooth formal variety with a rig-smooth closed subvariety. This solves affirmatively a problem raised by M. Temkin and has applications to desingularization theory.