The push-forwards and pull-backs of $\delta$-forms and applications to non-archimedean Arakelov geometry
Algebraic Geometry
2023-03-10 v1 Number Theory
Abstract
We study two kinds of push-forwards of -forms and define the pull-backs of -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 -forms on algebraic varieties, this allows us to define the first Chern forms for any piecewise smooth metrics.
Keywords
Cite
@article{arxiv.2303.04978,
title = {The push-forwards and pull-backs of $\delta$-forms and applications to non-archimedean Arakelov geometry},
author = {Yulin Cai},
journal= {arXiv preprint arXiv:2303.04978},
year = {2023}
}