13 citations · 25 across the 8 of their papers we have counts for
4 papers · 1 filter
Log geometry and lifting rational points
Leo Herr, Sara Mehidi, Marta Pieropan +1
For a morphism of schemes, we give a tropical criterion for which points of (valued in a field, discrete valuation ring, number ring, or Dedekind domain) lift to…
On rationally connected varieties over fields of characteristic
Marta Pieropan
We use birational geometry to show that the existence of rational points on proper rationally connected varieties over fields of characteristic is a consequence of the existenc…
On Galois descent of complete intersections
Marta Pieropan
We introduce a notion of strict complete intersections with respect to Cox rings and we prove Galois descent for this new notion.
Cox rings over nonclosed fields
Ulrich Derenthal, Marta Pieropan
We give a definition of Cox rings and Cox sheaves for varieties over nonclosed fields that is compatible with torsors under quasitori, including universal torsors. We study their e…