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GAPS IN HOCHSCHILD COHOMOLOGY IMPLY SMOOTHNESS FOR COMMUTATIVE ALGEBRAS
 

Summary: 



GAPS IN HOCHSCHILD COHOMOLOGY IMPLY SMOOTHNESS

FOR COMMUTATIVE ALGEBRAS



LUCHEZAR L. AVRAMOV AND SRIKANTH IYENGAR


Abstract.The paper concerns Hochschild cohomology of a commutative al-
gebra S, which is essentially of finite type over a commutative noetheri*
*an ring
K and projective as a K-module. For a finite S-module M it is proved that
vanishing of HHn(S|K; M) in sufficiently long intervals imply the smooth*
*ness
of Sq over K for all prime ideals q in the support of M. In particular, *

  

Source: Avramov, Luchezar L.- Department of Mathematics, University of Nebraska-Lincoln

 

Collections: Mathematics