Ulrich bundles on ruled surfaces |
| |
| Authors: | Marian Aprodu Laura Costa Rosa Maria Miró-Roig |
| |
| Affiliation: | 1. Facultatea de Matematic? ?i Informatic?, Universitatea din Bucure?ti, Str. Academiei 14, 010014 Bucure?ti, Romania;2. Institutul de Matematic? “Simion Stoilow” al Academiei Române, Calea Grivi?ei 21, Sector 1, 010702 Bucure?ti, Romania;3. Facultat de Matemàtiques i Informàtica, Departament de Matemàtiques i Informàtica, Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain |
| |
| Abstract: | In this short note, we study the existence problem for Ulrich bundles on polarized ruled surfaces, focusing our attention on the smallest possible rank. We show that existence of Ulrich line bundles occurs if and only if the coefficient α of the minimal section in the numerical class of the polarization equals one. For other polarizations, we prove the existence of rank two Ulrich bundles. |
| |
| Keywords: | Corresponding author. |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
