4 citations · 4 across the 8 of their papers we have counts for
8 papers · 1 filter
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 $(K_\mcF +Δ)$-MMP and any…
A basepoint free theorem for algebraically integrable foliations
Priyankur Chaudhuri, Omprokash Das
We show that if is an algebraically integrable foliation on a -factorial normal projective variety , are -divisors on wi…
Flops and minimal models for generalized pairs
Priyankur Chaudhuri
We show that given any two minimal models of a generalized lc pair, there exist small birational models which are connected by a sequence of symmetric flops. We also present some a…
Semiampleness for generalized pairs
Priyankur Chaudhuri
We prove that if is a generalized klt pair with nef and abundant, then is semiample. More generally, we prove a genera…
An inductive approach to generalized abundance using nef reduction
Priyankur Chaudhuri
We use the canonical bundle formula for parabolic fibrations to give an inductive approach to the generalized abundance conjecture using nef reduction. In particular, we observe th…
Nef and abundant divisors, semiampleness and canonical bundle formula
Priyankur Chaudhuri
In this paper, we use canonical bundle formulas to prove some generalizations of an old theorem of Kawamata on the semiampleness of nef and abundant log canonical divisors. In part…
Strictly nef divisors and some remarks on a conjecture of Serrano
Priyankur Chaudhuri
Serrrano's Conjecture says that if is a strictly nef line bundle on a smooth projective variety , then is ample for . In this paper I will prove a few…
Strictly nef Bundles
Priyankur Chaudhuri
In this short note we will show that every homogeneous strictly nef vector bundle on a complex flag variety is ample. Following this, we consider whether ampleness of a bundle on a…