Fano 5-folds with nef tangent bundles and Picard numbers greater than one
We prove that smooth Fano 5-folds with nef tangent bundles and Picard numbers greater than one are rational homogeneous manifolds.
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| Published in: | Mathematische Zeitschrift Vol. 276; no. 1-2; pp. 39 - 49 |
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| Format: | Journal Article |
| Language: | English |
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Springer Berlin Heidelberg
01-02-2014
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| Abstract | We prove that smooth Fano 5-folds with nef tangent bundles and Picard numbers greater than one are rational homogeneous manifolds. |
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| AbstractList | We prove that smooth Fano 5-folds with nef tangent bundles and Picard numbers greater than one are rational homogeneous manifolds. |
| Author | Watanabe, Kiwamu |
| Author_xml | – sequence: 1 givenname: Kiwamu surname: Watanabe fullname: Watanabe, Kiwamu email: kwatanab@rimath.saitama-u.ac.jp organization: Course of Mathematics, Programs in Mathematics, Electronics and Informatics, Graduate School of Science and Engineering, Saitama University |
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| Cites_doi | 10.1007/BF02568341 10.1090/S0002-9947-1988-0936818-5 10.1007/s002090100405 10.1007/BF01446566 10.1512/iumj.2007.56.2905 10.2140/pjm.1994.163.17 10.1007/BF01388861 10.1112/S0024611504014856 10.1112/S0010437X08003679 10.1007/s00014-003-0765-x 10.1090/S0002-9947-02-02953-7 10.2307/1971241 10.4310/jdg/1214453188 10.1007/978-3-662-03276-3 10.1007/978-1-4757-3849-0 10.1007/BFb0097851 10.1007/978-3-0348-0151-5 10.4171/022-2/28 |
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| Keywords | Primary 14J40 14J45 Homogeneous manifold 14M17 Fano manifold with nef tangent bundle |
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| References | Kollár, Miyaoka, Mori (CR13) 1992; 36 Bonavero, Casagrande, Debarre, Druel (CR3) 2003; 78 CR2 Campana, Peternell (CR6) 1993; 79 Mok (CR15) 2002; 354 Campana, Peternell (CR5) 1991; 289 CR19 CR7 CR9 Paranjape, Srinivas (CR22) 1989; 98 Ottaviani (CR21) 1990; 4 CR14 Occhetta, Wiśniewski (CR18) 2002; 241 Solá Conde, Wiśniewski (CR23) 2004; 89 CR12 Ancona, Peternell, Wiśniewski (CR1) 1994; 163 CR11 Novelli, Occhetta (CR17) 2007; 56 CR10 Ottaviani (CR20) 1988; 307 Demailly, Peternell, Schneider (CR8) 1994; 3 Mori (CR16) 1979; 110 Casagrande (CR4) 2008; 144 G Occhetta (1185_CR18) 2002; 241 S Mori (1185_CR16) 1979; 110 1185_CR19 JP Demailly (1185_CR8) 1994; 3 F Campana (1185_CR5) 1991; 289 1185_CR12 V Ancona (1185_CR1) 1994; 163 1185_CR11 1185_CR10 C Casagrande (1185_CR4) 2008; 144 L Solá Conde (1185_CR23) 2004; 89 1185_CR14 G Ottaviani (1185_CR21) 1990; 4 1185_CR2 L Bonavero (1185_CR3) 2003; 78 F Campana (1185_CR6) 1993; 79 1185_CR7 1185_CR9 N Mok (1185_CR15) 2002; 354 C Novelli (1185_CR17) 2007; 56 G Ottaviani (1185_CR20) 1988; 307 J Kollár (1185_CR13) 1992; 36 KH Paranjape (1185_CR22) 1989; 98 |
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| Snippet | We prove that smooth Fano 5-folds with nef tangent bundles and Picard numbers greater than one are rational homogeneous manifolds. |
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| Title | Fano 5-folds with nef tangent bundles and Picard numbers greater than one |
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