Log geometry and lifting rational points
Leo Herr, Sara Mehidi, Marta Pieropan, Thibault Poiret
Published: 2025/9/15
Abstract
For a morphism $f : X \to Y$ 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 to a wide range of morphisms, even logarithmic stable maps.