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Minimal metrics and interior injectivity for nef adjoints

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OpenAI Mathopenai-math/Minimal-metrics-and-interior-injectivity-for-nef-adjointsSep 27, 2026math.AGAI-generatedscore 0

Let $(H,\Theta)$ be a projective complex klt pair with effective rational boundary and nef ℚ-Cartier adjoint. On any projective log resolution, minimal semipositive metrics on the pulled-back adjoint exist and have zero Lelong numbers everywhere. On smooth projective complex varieties, we also prove an H 1 -injectivity theorem for rational interior boundaries with simple-normal-crossing support when both endpoint bundles carry zero-Lelong semipositive metrics.

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