3 papers
math.AG2026
Foliated Minimal Models and Flops
Paolo Cascini, Roktim Mascharak, Calum Spicer
We study minimal models and flops for foliations. We show that if is a rank one foliation with canonical singularities on a normal projective -factorial var…
math.AG2026
On The Log Sarkisov Program For Foliations On Projective 3-Folds
Roktim Mascharak
In this article, we prove the Sarkisov Program for co-rank one foliations with suitable singularities on normal projective threefolds. We also exibit a weaker version of birational…
math.AG2025
Log Canonical Minimal Model Program for corank one foliations on Threefolds
Priyankur Chaudhuri, Roktim Mascharak
If $(X, \mcF, \D)$ is a projective rank two foliated log canonical triple such that is klt for some $0 \leq B \leq \D$, we show that we can run a $(K_\mcF +Î)$-MMP and any…