scholarly journals The Automorphism Group of a Supersingular K3 Surface with Artin Invariant 1 in Characteristic 3

2012 ◽  
Vol 2014 (7) ◽  
pp. 1885-1924 ◽  
Author(s):  
Shigeyuki Kondō ◽  
Ichiro Shimada
Keyword(s):  
Automorphism Group ◽  
K3 Surface ◽  
Characteristic 3 ◽  
Supersingular K3 Surface

scholarly journals The Automorphism Group of the Hilbert Scheme of Two Points on a Generic Projective K3 Surface

2016 ◽  
pp. 1-15 ◽  
Author(s):  
Samuel Boissiére ◽  
Andrea Cattaneo ◽  
Marc Nieper-Wisskirchen ◽  
Alessandra Sarti
Keyword(s):  
Automorphism Group ◽  
Hilbert Scheme ◽  
K3 Surface

scholarly journals DYNAMICS ON SUPERSINGULAR K3 SURFACES AND AUTOMORPHISMS OF SALEM DEGREE 22

2016 ◽  
Vol 227 ◽  
pp. 1-15
Author(s):  
SIMON BRANDHORST
Keyword(s):  
Characteristic Zero ◽  
K3 Surfaces ◽  
K3 Surface ◽  
Supersingular K3 Surface

In this paper, we exhibit explicit automorphisms of maximal Salem degree 22 on the supersingular K3 surface of Artin invariant one for all primes $p\equiv 3~\text{mod}\,4$ in a systematic way. Automorphisms of Salem degree 22 do not lift to any characteristic zero model.

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