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arXiv · 2305.19109

Two Non-Vanishing results concerning the Anti-Canonical Bundle

Niklas Müller
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Abstract

Let $(X, \Delta)$ be a klt threefold pair with nef anti-log canonical bundle $-(K_X+\Delta)$. We show that $\kappa(X, -(K_X+\Delta))\geq 0$. To do so, we prove a more general equivariant non-vanishing result for anti-log canonical bundles, which is valid in any dimension.

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Niklas Müller. 2023-05-30. Two Non-Vanishing results concerning the Anti-Canonical Bundle. https://doi.org/10.1017/nmj.2024.21

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