Preprint in the OpenAI Math release
Log abundance in characteristic zero
OpenAI
Abstract
We prove the rational-boundary log abundance conjecture in every dimension over algebraically closed fields of characteristic zero: every nef ℚ-Cartier log canonical divisor on a projective log canonical pair with effective rational boundary is semiample. Over ℂ, the proof also establishes canonical nonvanishing for smooth projective varieties in every dimension.
open until 1 Jan 2028
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