Forms and currents on the analytification of an algebraic variety (after Chambert-Loir and Ducros)
Algebraic Geometry
2021-10-06 v3 Number Theory
Abstract
Chambert-Loir and Ducros have recently introduced real differential forms and currents on Berkovich spaces. In these notes, we survey this new theory and we will compare it with tropical algebraic geometry.
Keywords
Cite
@article{arxiv.1303.7364,
title = {Forms and currents on the analytification of an algebraic variety (after Chambert-Loir and Ducros)},
author = {Walter Gubler},
journal= {arXiv preprint arXiv:1303.7364},
year = {2021}
}
Comments
25 pages, notes for my survey talk given at the Simons Symposium in St. John from 1.4-5.4.2013. In the second version, a sign error in the definition of the integral is corrected and the exposition in section 7 is slightly changed. In the third version, a sign error in the definition of the second boundary integral in 2.8 is corrected. This corrects the published version