# Lectures on Logarithmic Algebraic Geometry

@inproceedings{Ogus2018LecturesOL,
title={Lectures on Logarithmic Algebraic Geometry},
author={Arthur Ogus},
year={2018}
}
• A. Ogus
• Published 31 October 2018
• Mathematics
119 Citations
• Mathematics
• 2019
We associate a ring R to a log Calabi-Yau pair (X,D) or a degeneration of Calabi-Yau manifolds X->B. The vector space underlying R is determined by the tropicalization of (X,D) or X->B, while the
• Mathematics
• 2022
. This paper incorporates the theory of Hochschild homology into our program on log motives. We discuss a geometric deﬁnition of logarithmic Hochschild homology of derived pre-log rings and construct
• Comptes Rendus. Mathématique
• 2022
This document is a short user’s guide to the theory of motives and homotopy theory in the setting of logarithmic geometry. We review some of the basic ideas and results in relation to other works on
We construct a canonical chain of formality quasiisomorphisms for the operad of chains on framed little disks and the operad of chains on little disks. The construction is done in terms of
On a smooth discretely ringed adic space $\mathcal{X}$ over a field $k$ we define a subsheaf $\Omega_{\mathcal{X}}^+$ of the sheaf of differentials $\Omega_{\mathcal{X}}$. It is defined in a similar
On a smooth discretely ringed adic space X over a field k we define a subsheaf Ω+X of the sheaf of differentials ΩX . It is defined in a similar way as the subsheaf O X of OX using Kähler seminorms
• Mathematics
• 2020
This book presents two important results in p-adic Hodge theory following the approach initiated by Faltings, namely (i) his main p-adic comparison theorem, and (ii) the Hodge-Tate spectral sequence.
We introduce framed formal curves, which are formal algebraic curves with boundary components parametrized by the punctured formal disk. We study the moduli space of nodal framed formal curves, which
We construct the relative log de Rham–Witt complex. This is a generalization of the relative de Rham–Witt complex of Langer–Zink to log schemes. We prove the comparison theorem between the
• Raffaele Caputo
• Mathematics
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
• 2023
We show that every compact complex analytic space endowed with a fine logarithmic structure and every morphism between such spaces admit a semi-universal deformation. These results generalize the

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• Mathematics, Computer Science