First order deformations of schemes with normal crossing singularities

DOI10.1007/s00229-011-0444-yzbMath1234.14010arXiv1007.3038OpenAlexW2015270965MaRDI QIDQ644987

Nikolaos Tziolas

Publication date: 8 November 2011

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.3038

zbMATH Keywords

deformations of schemesnormal crossing singularities

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Formal methods and deformations in algebraic geometry (14D15)

Cites Work

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• Toroidal embeddings. I
• Resolution of singularities of threefolds in positive characteristic. I: Reduction to local uniformization on Artin-Schreier and purely inseparable coverings
• Smoothings of schemes with nonisolated singularities
• Resolution of singularities of threefolds in positive characteristic. II
• Global smoothings of varieties with normal crossings
• Threefolds and deformations of surface singularities
• Nonnormal del Pezzo surfaces
• Algebraic approximation of structures over complete local rings
• Infinitesimal Lifting and Jacobi Criterion for Smoothness on Formal Schemes
• Resolution of singularities for 3-folds in positive characteristic
• ℚ-Gorenstein deformations of nonnormal surfaces
• Functors of Artin Rings

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