Two results on the logarithmic cotangent complex

TL;DR

This paper introduces two new theoretical results related to the logarithmic cotangent complex, including a logarithmic analogue of a known complex and a spectral sequence, advancing the understanding of logarithmic geometry.

Contribution

It constructs a logarithmic analogue to the complex of Lichtenbaum and Schlessinger and to Quillen's fundamental spectral sequence, providing new tools in logarithmic geometry.

Findings

Development of a logarithmic analogue to Lichtenbaum and Schlessinger's complex

Construction of a logarithmic version of Quillen's spectral sequence

Enhanced understanding of the structure of the logarithmic cotangent complex

Abstract

In this paper we give two results on the logarithmic cotangent complex: we construct a logarithmic analogues to the complex of Lichtenbaum and Schlessinger and to Quillen's fundamental spectral sequence.