ACC for local volumes
Jingjun Han, Jihao Liu, Lu Qi
TL;DR
This paper proves the ACC conjecture for local volumes and, under certain bounds, confirms Shokurov's ACC conjecture for minimal log discrepancies, advancing understanding in algebraic geometry.
Contribution
It establishes the ACC conjecture for local volumes and verifies Shokurov's conjecture in cases where the local volume is bounded away from zero.
Findings
Proved ACC conjecture for local volumes.
Confirmed Shokurov's ACC conjecture under bounded local volume.
Enhanced understanding of singularities in algebraic geometry.
Abstract
We prove the ACC conjecture for local volumes. Moreover, when the local volume is bounded away from zero, we prove Shokurov's ACC conjecture for minimal log discrepancies.
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Taxonomy
TopicsNeural Networks and Applications