Obstruction Calculus for Functors of Artin Rings, I

✍ Scribed by Barbara Fantechi; Marco Manetti

• Book ID: 102576102
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 340 KB
• Volume: 202
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1997.7239

✦ Synopsis

In this paper we define and study obstruction theories for morphisms of functors of Artin rings. We prove the existence of a universal obstruction theory, and we give explicit criteria for completeness and for linearity. As applications, we extend several results in the literature, removing the finite-dimensionality of the tangent space and the existence of a vector space of obstructions from the assumptions.