On the abundance theorem in the case $\nu=0$
Yujiro Kawamata
TL;DR
This paper provides a concise proof of the abundance theorem for cases where the numerical Kodaira dimension is zero, extending the result to the log setting.
Contribution
It offers a simplified proof of Nakayama's abundance theorem for numerical Kodaira dimension zero and generalizes it to the log case.
Findings
Simplified proof of the abundance theorem for ν=0
Extension of the theorem to log varieties
Clarification of the conditions for the theorem's applicability
Abstract
We present a short proof of the abundance theorem in the case of numerical Kodaira dimension 0 proved by Nakayama and its log generalizaton.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Geometric Analysis and Curvature Flows