The deformation theory of sheaves of commutative rings II

• Jonathan Wise ^[1]
  1. [1] University of Colorado, USA
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 14, Nº 2, 2015, págs. 339-359
• Idioma: inglés
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• Resumen

  • We show that the obstructions to infinitesimal deformation of sheaves of rings defined in our earlier work are equivalent to those originally defined by Illusie. We also give sheaf-theoretic proofs of several fundamental properties of the cotangent complex, including the transitivity triangle and flat base change, avoiding simplicial methods.