协调系统的张量积
Tensor product of coherent systems
摘要:
设X是亏格g>=2的光滑代数曲线。X上的d次秩n的稳定向量丛至少有k个截面称为(n,d,k)型Brill-Noether丛。通过张量化协调系统,我们证明了大多数已知的Brill-Noether丛定义的(n,d,k)型协调系统对所有允许的α是α稳定的.
英文摘要:
Let X be a smooth algebraic curve of genus g>=2. A stable vector bundle over X of degree d, rank n with at least k sections is called a Brill-Noether bundle of type (n,d,k). By tensoring coherent systems, we prove that most of the known Brill-Noether bundles define coherent systems of type (n,d,k) that are alpha-stables for all allowable alpha .
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