Algebraization of a Cartier divisor

Published 15 Oct 2012 in math.AC | (1210.4176v1)

Abstract: 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.

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Dmitry Trushin

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