Omprokash Das

most citedTranscendental Minimal Model Program for Projective Varieties

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math.AG2026★ 1 cited

Transcendental Minimal Model Program for Projective Varieties

Omprokash Das, Christopher Hacon

In this article we prove that if $(X, B + I^^{2})$ is a projective generalized klt pair such that $B + I^^{2}$ is big, then $(X, B + I^^{2})$ admits a good Minimal Model or Mori fiber space. In partic…

math.AG2026

MMP for Generalized Pairs on KÃ¤hler 3-folds

Omprokash Das, Christopher Hacon, JosÃ© Ignacio YÃ¡Ã±ez

In this article we define generalized pairs $(X, B + I^^{2})$ where $X$ is an analytic variety and $I^^{2}$ is a b-(1,1) current. We then prove that almost all standard…

math.AG2025

On the Log Abundance for Compact {K{Ã¤}hler} threefolds II

Omprokash Das, Wenhao Ou

In this article we show that if $(X, I^)$ is a log canonical compact KÃ¤hler threefold pair such that $K_{X} + I^$ is nef and the numerical dimension $I^½ (X, K_{X} + I^) = 2$ , then $K_{X} + I^$ i…

math.AG2024

On the Minimal Model Program for KÃ¤hler 3-folds

Omprokash Das, Christopher Hacon

In this article we prove the existence of pl-flipping and divisorial contractions and pl flips in dimension $n$ for compact KÃ¤hler varieties, assuming results of the minimal model…

math.AG2024

On the $4$ -dimensional minimal model program for KÃ¤hler varieties

Omprokash Das, Christopher Hacon, Mihai PÄun

In this article we establish the following results: Let $(X, B)$ be a dlt pair, where $X$ is a $Q$ -factorial KÃ¤hler $4$ -fold -- (i) if $X$ is compact and $K_X+B\sim_{\math…