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arXiv · 1808.06308

$L^p$ metric geometry of big and nef cohomology classes

Eleonora Di Nezza·Chinh H. Lu
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Abstract

Let $(X,\omega)$ be a compact K\"ahler manifold of dimension $n$, and $\theta$ be a closed smooth real $(1,1)$-form representing a big and nef cohomology class. We introduce a metric $d_p, p\geq 1$, on the finite energy space $\mathcal{E}^p(X,\theta)$, making it a complete geodesic metric space.

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BibTeXRIS

Eleonora Di Nezza, Chinh H. Lu. 2018-08-20. $L^p$ metric geometry of big and nef cohomology classes. https://arxiv.org/abs/1808.06308

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