Basic deformation theory of smooth formal schemes

DOI10.1016/j.jpaa.2008.03.003zbMath1151.14007OpenAlexW2051471848MaRDI QIDQ942192

Marta Pérez Rodríguez

Publication date: 4 September 2008

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.03.003

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Schemes and morphisms (14A15) Infinitesimal methods in algebraic geometry (14B10) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25) Formal neighborhoods in algebraic geometry (14B20)

Related Items (4)

Normalized Berkovich spaces and surface singularities ⋮ Deformation of formal schemes through local homology ⋮ On the decomposition of the De Rham complex on formal schemes ⋮ Local structure theorems for smooth maps of formal schemes

Cites Work

• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• Infinitesimal Lifting and Jacobi Criterion for Smoothness on Formal Schemes
• Smooth Formal Embeddings and the Residue Complex
• Duality and flat base change on formal schemes
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