Special Ulrich bundles on regular Weierstrass fibrations

The main goal of this short paper is to prove the existence of rank 2 simple and special Ulrich bundles on a wide class of elliptic surfaces: namely, on regular Weierstrass fibrations π : S → P 1 . Alongside we also show the existence of rank 2 weakly Ulrich sheaves on arbitrary Weierstrass fibratio...

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Bibliographic Details
Published in:Mathematische Zeitschrift 2019-12, Vol.293 (3-4), p.1431-1441
Main Authors: Miró-Roig, R. M., Pons-Llopis, J.
Format: Article
Language:English
Subjects:
Bundles
Bundling
Mathematics
Mathematics and Statistics
Sheaves
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Summary:The main goal of this short paper is to prove the existence of rank 2 simple and special Ulrich bundles on a wide class of elliptic surfaces: namely, on regular Weierstrass fibrations π : S → P 1 . Alongside we also show the existence of rank 2 weakly Ulrich sheaves on arbitrary Weierstrass fibrations S → C 0 and we deal with the (non-)existence of rank one Ulrich bundles on them.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-019-02277-x