2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219581We give an affirmative answer to a conjecture proposed by Tevelev in characteristic 0 case: any variety contains a schön very affine open subvariety. Also we show that any fan supported on the tropicalization of a schön very affine variety produces a schön compactification. Using toric schemes over a discrete valuation ring, we extend tropical compatifications to the non-constant coefficient case.19 pages, comments are welcomeAlgebraic Geometrytext