Log geometry and lifting rational points
Abstract
Abstract For a morphism f : X → Y $f : X \to Y$ f colon upper X right arrow upper Y of schemes, we give a tropical criterion for which points of Y (valued in a field, discrete valuation ring, number ring, or Dedekind domain) lift to X . Our criterion extends the firmaments of Abramovich [Abr09] to a wide range of morphisms, even logarithmic stable maps.
Fields of Study & Subjects
Mathematics and Applications
Publication details
- Journal / source
- Forum of Mathematics Sigma
- Volume
- 14
- Publication date
- 1 January 2026
- Language
- EN