The d-very ampleness of adjoint line bundles on quasi-elliptic surfaces |
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| Institution: | 1. Department of Mathematics, UC Santa Cruz, CA 95064, United States of America;2. Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, United States of America;1. Department of Mathematics, Southwest Jiaotong University, Sichuan 611756, China;2. Department of Mathematics, University of Virginia, Charlottesville, VA 22904, USA;1. School of Mathematics and Computer Science, Yunnan Minzu University, Kunming, Yunnan 655000, China;2. College of Mathematics and Statistics, Qujing Normal University, Qujing, Yunnan 655011, China;1. Department of Mathematics, HKUST, Hong Kong;2. Center for Combinatorics, Nankai University, China;1. Department of Mathematical Sciences, Tsinghua University, 100084 Beijing, PR China;2. School of Mathematics and Statistics, Changsha University of Science and Technology, 410114 Changsha, Hunan, PR China |
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| Abstract: | In this paper, we give a numerical criterion of Reider-type for the d-very ampleness of the adjoint line bundles on quasi-elliptic surfaces, and meanwhile we give a new proof of the vanishing theorem on quasi-elliptic surfaces emailed from Langer and show that it is the optimal version. |
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| Keywords: | 14C20 |
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