Remarks on toric manifolds whose Chern characters are positive |
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| Authors: | Hiroshi Sato Yusuke Suyama |
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| Institution: | 1. Department of Applied Mathematics, Faculty of Sciences, Fukuoka University, Fukuoka, Japan;2. hirosato@fukuoka-u.ac.jp;4. Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka, Japan |
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| Abstract: | AbstractWe show that the second Chern character of any projective toric manifold of Picard number three is not positive. In connection with this result, we give various examples of the positivity of higher Chern characters of projective toric manifolds.Communicated by Stephen L. Kleiman |
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| Keywords: | toric manifolds Chern character 2-Fano manifolds |
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