26 citations · 91 across the 18 of their papers we have counts for
20 papers
Transcendental Minimal Model Program for Projective Varieties
Omprokash Das, Christopher Hacon
In this article we prove that if is a projective generalized klt pair such that is big, then admits a good Minimal Model or Mori fiber space. In particula…
ACC for lc thresholds for algebraically integrable foliations
Omprokash Das, Jihao Liu, Roktim Mascharak
We prove the ACC for lc thresholds and the global ACC for algebraically integrable foliations and provide applications.
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…
On the Minimal Model Program for Kähler 3-folds
Omprokash Das, Christopher Hacon
In this article we prove the existence of pl-flipping and divisorial contractions and pl flips in dimension for compact Kähler varieties, assuming results of the minimal model…
On the Log Abundance for Compact {K{ä}hler} threefolds II
Omprokash Das, Wenhao Ou
In this article we show that if is a log canonical compact Kähler threefold pair such that is nef and the numerical dimension , then is semi…
MMP for Generalized Pairs on Kähler 3-folds
Omprokash Das, Christopher Hacon, José Ignacio Yáñez
In this article we define generalized pairs where is an analytic variety and is a b-(1,1) current. We then prove that almost all standard r…
Existence of Good Minimal Models for Kähler Varieites of Maximal Albanese Dimension
Omprokash Das, Christopher Hacon
In this short article we show that if is a compact Kähler klt pair of maximal Albanese dimension, then it has a good minimal model, i.e. there is a bimeromorphic contracti…
On the -dimensional minimal model program for Kähler varieties
Omprokash Das, Christopher Hacon, Mihai Păun
In this article we establish the following results: Let be a dlt pair, where is a -factorial Kähler -fold -- (i) if is compact and $K_X+B\sim_{\mathb…
On the Log Abundance for Compact Kähler -folds
Omprokash Das, Wenhao Ou
In this article we show that if is a log canonical compact Kähler -fold such that is nef and the numerical dimension , then is semi-ampl…
The log minimal model program for Kähler -folds
Omprokash Das, Christopher Hacon
In this article we show that the Log Minimal Model Program for -factorial dlt pairs on a compact Kähler -fold holds. More specifically, we show that after f…
Boundedness of log-pluricanonical maps for surfaces of log-general types in positive characteristic
Omprokash Das
In this article we prove the following boundedness result: Fix a DCC set . Let be the set of all log pairs satisfying the following propert…
On the log minimal model program for -folds over imperfect fields of characteristic
Omprokash Das, Joe Waldron
We prove that many of the results of the LMMP hold for -folds over fields of characteristic which are not necessarily perfect. In particular, the existence of flips, the c…
On the boundedness of anti-canonical volumes of singular Fano -folds in characteristic
Omprokash Das
In this article we prove the following version of the Weak-BAB conjecture for -folds in char : Fix a DCC set and an algebraically closed field of char…
Finiteness of Log Minimal Models and Nef curves on -folds in characteristic
Omprokash Das
In this article we prove a finiteness result on the number of log minimal models for -folds in char . We then use this result to prove a version of Batyrev's conjecture on…
Kawamata-Viehweg Vanishing Theorem for del Pezzo Surfaces over imperfect fields in characteristic
Omprokash Das
In this article we prove that the Kawamata-Viehweg vanishing theorem holds for regular del Pezzo surfaces over imperfect ground fields of characteristic .
Bridgeland Stability on Blow Ups and Counterexamples
Cristian Martinez, Benjamin Schmidt, Omprokash Das
We give further counterexamples to the conjectural construction of Bridgeland stability on threefolds due to Bayer, Macrì, and Toda. This includes smooth projective threefolds cont…
On the Abundance Problem for -folds in characteristic
Omprokash Das, Joe Waldron
In this article we prove two cases of the abundance conjecture for -folds in characteristic : is KLT and , and is KLT, $K_X\eq…
The -different and a canonical bundle formula
Omprokash Das, Karl Schwede
We study the structure of Frobenius splittings (and generalizations thereof) induced on compatible subvarieties . In particular, if the compatible splitting comes fr…
On the Adjunction Formula for -folds in characteristic
Omprokash Das, Christopher D. Hacon
In this article we prove a relative Kawamata-Viehweg vanishing-type theorem for PLT -folds in characteristic . We use this to prove the normality of minimal log canonical c…
On Strongly -Regular Inversion of Adjunction
Omprokash Das
In this article we give two independent proofs of the positive characteristic analog of the log terminal inversion of adjunction. We show that for a pair in characterist…