Positivity of the Moduli Part
Florin Ambro, Paolo Cascini, Vyacheslav Shokurov, Calum Spicer
TL;DR
This paper proves the Cone Theorem for algebraically integrable foliations and demonstrates that flip termination implies the b-nefness of the moduli part in certain log canonical pairs, extending previous results.
Contribution
It introduces a proof of the Cone Theorem for algebraically integrable foliations and links flip termination to the b-nefness of the moduli part in log canonical pairs.
Findings
Proves the Cone Theorem for algebraically integrable foliations
Shows that flip termination implies b-nefness of the moduli part
Generalizes results for lc trivial fibrations
Abstract
We prove the Cone Theorem for algebraically integrable foliations. As a consequence, we show that termination of flips implies the b-nefness of the moduli part of a log canonical pair with respect to a contraction, generalising the case of lc trivial fibrations.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Nonlinear Waves and Solitons · Geometry and complex manifolds