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Rank one sheaves over quaternion algebras on Enriques surfaces.
- Source :
-
Advances in Geometry . Jan2022, Vol. 22 Issue 1, p105-112. 8p. - Publication Year :
- 2022
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUATERNIONS
*COMPLEX numbers
*ALGEBRA
*TORSION
*TORSION theory (Algebra)
Subjects
Details
- Language :
- English
- ISSN :
- 1615715X
- Volume :
- 22
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Geometry
- Publication Type :
- Academic Journal
- Accession number :
- 154923797
- Full Text :
- https://doi.org/10.1515/advgeom-2021-0027