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Brill-Noether theory for rank two vector bundles generated by their sections |
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| Authors: | Jian Bo Xiao Xiao Jiang Tan |
| Institution: | (1) School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China;(2) School of Mathematics, Southwest Jiaotong University, Chengdu, 611756, P. R. China;(3) LMAM and School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China |
| Abstract: | We here study the Brill-Noether theory for rank two vector bundles generated by their sections. We generalize the vanishing theorem, the Clifford theorem and the existence theorem to such bundles. |
| Keywords: | rank two vector bundle vanishing theorem Clifford theorem existence theorem |
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