Geometry of moduli spaces of rational curves in linear sections of   Grassmannian $Gr(2,5)$
  We prove that the moduli spaces of rational curves of degree at most $3$ in linear sections of the Grassmannian $Gr(2,5)$ are all rational varieties. We also study their compactifications and birational geometry. 
Kiryong Chung, Jaehyun Hong, and Sanghyeon Lee
math.AG