WebH. Diao, K.-W. Lan, R. Liu, and X. Zhu, Logarithmic adic spaces: some foundational results, arXiv:1912.09836, 2024. ... The fourth author was partially supported by the … WebBerkovich analytic spaces) can be studied by combining the semistable reduction theorem and a good understanding of the local structure of the Berkovich projective line. Second, we hope to give an accessible introduction to the monograph [BR08], which develops the foundations of potential theory on the Berkovich projective

Adic Spaces - Mathematics

WebFoundations of Logarithmic Adic Spaces Hansheng Diao Abstract. The main objects of study are adic spaces equipped with logarithmic structures. After basic definitions, we … WebFirst, show that. log ( 1 + x) = lim n → ∞ ( 1 + x) p n − 1 p n, where the convergence is p -adic coefficientwise. This is a nice easy exercise. (*) Next, expand this limit as an infinite product: log ( 1 + x) = x ∏ m = 1 ∞ P m ( x) p P m − 1 ( x), where P m ( x) = ( 1 + x) p m − 1. Note that P m / P m − 1 is a monic Z ... bold schools olivia mn facebook

Nonarchimedean and Tropical Geometry - Google Books

Webmaps, and show how logarithmic structures give a palatable way to construct the moduli stack of twisted curves. Section12gives background for the work of B. Kim, in which Jun Li’s moduli space of relative stable maps, with its obstruction theory and virtual fundamental class, is beautifully simplified using logarithmic structures. Notation WebLogarithmic adic spaces: some foundational results Hansheng Diao, Kai-Wen Lan, Ruochuan Liu, and Xinwen Zhu Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China University of Minnesota, 127 Vincent Hall, 206 Church Street SE, Minneapolis, MN 55455, USA WebSep 25, 2024 · In this note, we prove the logarithmic p -adic comparison theorem for open rigid analytic varieties. We prove that a smooth rigid analytic variety with a strict simple … bold school weston kieschnick