TL;DR
This paper extends the Cone Theorem within the Log Minimal Model Program to encompass log varieties with any type of singularities, broadening the scope of the theory.
Contribution
It introduces a generalized version of the Cone Theorem applicable to log varieties with arbitrary singularities, advancing the field of algebraic geometry.
Findings
Extended Cone Theorem to arbitrary singularities
Broadened applicability of the Log Minimal Model Program
Provided new tools for studying singular log varieties
Abstract
We extend the Cone Theorem of the Log Minimal Model Program to log varieties with arbitrary singularities.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Geometric and Algebraic Topology