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→ P1. Alongside we also show the existence of rank 2 weakly Ulrich sheaves on arbitrary Weierstrass fibrations S→ C and we deal with the (non-)existence of rank one Ulrich bundles on them.

Special Ulrich bundles on regular Weierstrass fibrations / R. M., Miro-Roig; PONS LLOPIS, JUAN FRANCISCO. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - STAMPA. - 293:3-4(2019), pp. 1431-1441. [10.1007/s00209-019-02277-x]

Special Ulrich bundles on regular Weierstrass fibrations

Juan Francisco Pons Llopis
2019

Abstract

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→ P1. Alongside we also show the existence of rank 2 weakly Ulrich sheaves on arbitrary Weierstrass fibrations S→ C and we deal with the (non-)existence of rank one Ulrich bundles on them.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11583/2831656