Projective normality of G.I.T. quotient varieties modulo finite groups

2016 ◽  
Vol 45 (7) ◽  
pp. 2996-3004
Author(s):  
Pallav Goyal ◽  
S. K. Pattanayak
Author(s):  
Ingrid Bauer ◽  
Christian Gleissner

AbstractIn this paper the authors study quotients of the product of elliptic curves by a rigid diagonal action of a finite group G. It is shown that only for $$G = {{\,\mathrm{He}\,}}(3), {\mathbb {Z}}_3^2$$ G = He ( 3 ) , Z 3 2 , and only for dimension $$\ge 4$$ ≥ 4 such an action can be free. A complete classification of the singular quotients in dimension 3 and the smooth quotients in dimension 4 is given. For the other finite groups a strong structure theorem for rigid quotients is proven.


Author(s):  
Simon R. Blackburn ◽  
Peter M. Neumann ◽  
Geetha Venkataraman
Keyword(s):  

2009 ◽  
Author(s):  
Tullio Ceccherini-Silberstein ◽  
Fabio Scarabotti ◽  
Filippo Tolli

2018 ◽  
Vol 60 (3) ◽  
pp. 506-517
Author(s):  
V. Amjid ◽  
W. Guo ◽  
B. Li
Keyword(s):  

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