ⅠConcerning the Clifford theorem with the stability of vector bundles, Arrondo-Sols proposed the following conjecture.Arrondo-Sols’Conjecture. Let E be a rank two vector bundle of degree d on a smooth complex algebr...ⅠConcerning the Clifford theorem with the stability of vector bundles, Arrondo-Sols proposed the following conjecture.Arrondo-Sols’Conjecture. Let E be a rank two vector bundle of degree d on a smooth complex algebraic curve of genus g, -e be the minimal self-intersection number of a unisecant curve in the ruled surface p(E), and r+ 1 =h^0(E). If -e≤d≤4g-4+e and E≠L⊕L,展开更多
基金Project partly supported by the National Natural Science Foundation of China and the Institute of Mathematics, Academia Sinica.
文摘ⅠConcerning the Clifford theorem with the stability of vector bundles, Arrondo-Sols proposed the following conjecture.Arrondo-Sols’Conjecture. Let E be a rank two vector bundle of degree d on a smooth complex algebraic curve of genus g, -e be the minimal self-intersection number of a unisecant curve in the ruled surface p(E), and r+ 1 =h^0(E). If -e≤d≤4g-4+e and E≠L⊕L,