arXiv Open Access 2023

MMP for Generalized Pairs on Kähler 3-folds

Omprokash Das Christopher Hacon José Ignacio Yáñez

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Abstrak

In this article we define generalized pairs $(X, B+\boldsymbolβ)$ where $X$ is an analytic variety and $\boldsymbolβ$ is a b-(1,1) current. We then prove that almost all standard results of the MMP hold in this generality for compact Kähler varieties of dim $X\leq 3$. More specifically, we prove the cone theorem, existence of flips, existence of log terminal models, log canonical models and Mori fiber spaces, the geography of log canonical and log terminal models, etc.

Topik & Kata Kunci

math.AG math.CV

Penulis (3)

Omprokash Das

Christopher Hacon

José Ignacio Yáñez

Format Sitasi

APA MLA BibTeX

Das, O., Hacon, C., Yáñez, J.I. (2023). MMP for Generalized Pairs on Kähler 3-folds. https://arxiv.org/abs/2305.00524

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓