First order deformations of schemes with normal crossing singularities

2010/07/18 by Nikolaos Tziolas, Tziolas, Nikolaos
Computer Science · Mathematics · Physics and Astronomy · #14D06 #14D15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation #math.AG #msc:14D06 #msc:14D15

paper · pdf · doi:10.48550/arxiv.1007.3038

16 pages

arxiv created 2010/07/18 · openalex publication_date 2010/07/18 · arxiv updated 2010/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the sheaf T¹(X) of first order deformations of a reduced scheme with normal crossing singularities. In particular, we obtain a formula for T¹(X) in a suitable log resolution of X.

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