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arXiv · 2303.04978

The push-forwards and pull-backs of $\delta$-forms and applications to non-archimedean Arakelov geometry

Yulin Cai
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Abstract

We study two kinds of push-forwards of $\delta$-forms and define the pull-backs of $\delta$-forms. As a generalization of Gubler-K\"unnemann, we prove the projection formula and the tropical Poincar\'e-Lelong formula. As an application, we follow the idea of Gubler-K\"unnemann and generalize the notion of $\delta$-forms on algebraic varieties, this allows us to define the first Chern forms for any piecewise smooth metrics.

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Yulin Cai. 2023-03-09. The push-forwards and pull-backs of $\delta$-forms and applications to non-archimedean Arakelov geometry. https://arxiv.org/abs/2303.04978

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