Title 



Abelian and derived deformations in the presence of ℤgenerating geometric helices
 
Author 



 
Abstract 



For a Grothendieck category C which, via a Z generating sequence (O(n)) n∈Z , is equivalent to the category of quasicoherent modules over an associated Z algebra a , we show that under suitable cohomological conditions taking quasicoherent modules defines an equivalence between linear deformations of a and abelian deformations of C . If (O(n)) n∈Z is at the same time a geometric helix in the derived category, we show that restricting a (deformed) Z algebra to a thread of objects defines a further equivalence with linear deformations of the associated matrix algebra   
Language 



English
 
Source (journal) 



Journal of noncommutative geometry  
Publication 



2011
 
ISSN 



16616952
16616960
 
Volume/pages 



5:4(2011), p. 477505
 
ISI 



000295822400001
 
Full text (Publishers DOI) 


  
