Géométricité artinienne de l'∞-champs des éléments de Maurer-Cartan

2012/09/30 by Brahim Benzeghli, Benzeghli, Brahim
Mathematics · #Algebraic Geometry (math.AG) #Category Theory (math.CT) #FOS: Mathematics #math.AG #math.CT

paper · pdf · doi:10.48550/arxiv.1210.0192

arxiv created 2012/09/30 · arxiv updated 2012/10/02

Abstract

In this paper, based on the same techniques as in \citeBENZ08 for the construction of a formally smooth map V → Perf from the variety of complexes to the Artin ∞-stack Perf, we explicitly construct a new Artin ∞ -stack of Maurer-Cartan elements of a dg-category \mathcal P denoted by MC_P , with a map V → MC_P which we show to be formally smooth.

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