Priyankur Chaudhuri

activity

20202024

most citedStrictly nef divisors and some remarks on a conjecture of Serrano

4 citations · 4 across the 8 of their papers we have counts for

collaborators

8 papers

math.AG2024

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 $(X, B)$ is klt for some $0 \leq B \leq \D$, we show that we can run a $(K_\mcF +Δ)$-MMP and any…

math.AG2023

A basepoint free theorem for algebraically integrable foliations

Priyankur Chaudhuri, Omprokash Das

We show that if $F$ is an algebraically integrable foliation on a $Q$ -factorial normal projective variety $X$ , $A, B \geq 0$ are $Q$ -divisors on $X$ wi…

math.AG2022

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…

math.AG2022

Semiampleness for generalized pairs

Priyankur Chaudhuri

We prove that if $(X, B + M)$ is a generalized klt pair with $K_{X} + B + M_{X}$ nef and abundant, then $K_{X} + B + M_{X}$ is semiample. More generally, we prove a genera…

math.AG2021

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…

math.AG2021

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…