Rational connectedness of log $Q$-Fano varieties
Qi Zhang
TL;DR
This paper proves that log Q-Fano varieties of any dimension are rationally connected, confirming a conjecture in the Minimal Model Program, and explores how canonical bundles behave under projective morphisms.
Contribution
It establishes the rational connectedness of log Q-Fano varieties, advancing understanding in the Minimal Model Program.
Findings
Log Q-Fano varieties are rationally connected.
Behavior of canonical bundles under projective morphisms is analyzed.
Confirms a key conjecture in the Minimal Model Program.
Abstract
In this paper, we give an affirmative answer to a conjecture in the Minimal Model Program. We prove that log -Fano varieties of dim are rationally connected. We also study the behavior of the canonical bundles under projective morphisms.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Alkaloids: synthesis and pharmacology