Rank one sheaves over quaternion algebras on Enriques surfaces

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Advances in Geometry

سال: 2021

ISSN: ['1615-715X', '1615-7168']

DOI: https://doi.org/10.1515/advgeom-2021-0027