scholarly journals A note on stable sheaves on Enriques surfaces

2017 ◽  
Vol 69 (3) ◽  
pp. 369-382 ◽  
Author(s):  
Kōta Yoshioka
Keyword(s):  
Enriques Surfaces ◽  
Stable Sheaves

scholarly journals A note on stable sheaves on Enriques surfaces II

2016 ◽  
Vol 153 (1-2) ◽  
pp. 147-158 ◽  
Author(s):  
Kōta Yoshioka
Keyword(s):  
Enriques Surfaces ◽  
Stable Sheaves

scholarly journals ON ORDINARY ENRIQUES SURFACES IN POSITIVE CHARACTERISTIC

2020 ◽  
pp. 1-14
Author(s):  
ROBERTO LAFACE ◽  
SOFIA TIRABASSI
Keyword(s):  
Positive Characteristic ◽  
Enriques Surfaces

Abstract We give a notion of ordinary Enriques surfaces and their canonical lifts in any positive characteristic, and we prove Torelli-type results for this class of Enriques surfaces.

scholarly journals On the periods of enriques surfaces, I

1977 ◽  
Vol 53 (3) ◽  
pp. 124-127 ◽  
Author(s):  
Eiji Horikawa
Keyword(s):  
Enriques Surfaces

scholarly journals Rank one sheaves over quaternion algebras on Enriques surfaces

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Fabian Reede
Keyword(s):  
Quaternion Algebra ◽  
Double Cover ◽  
Complex Numbers ◽  
K3 Surface ◽  
Enriques Surface ◽  
Quaternion Algebras ◽  
Enriques Surfaces ◽  
Rank One ◽  
Torsion Free

Abstract Let X be an Enriques surface over the field of complex numbers. We prove that there exists a nontrivial quaternion algebra 𝓐 on X. Then we study the moduli scheme of torsion free 𝓐-modules of rank one. Finally we prove that this moduli scheme is an étale double cover of a Lagrangian subscheme in the corresponding moduli scheme on the associated covering K3 surface.

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