Using the Gromov invariants and the Taubes'structure theorem, we investigate how spheres of square -1 are embedded against fibers in relatively minimal Lefschetz fibrations over S2 and show the finiteness of the geography of relatively minimal genus-2 Lefschetz fibrations containing spheres of square -1. Furthermore, we present the list of possible pairs (n, s) of the numbers of irreducible singular fibers and reducible singular fibers in such a Lefschetz fibration.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
15
号
4
ページ
461 - 491
発行年
2009-02-20
ISSN
13405705
書誌レコードID
AA11021653
日本十進分類法
415
Mathmatical Subject Classification
57R17(MSC2000)
32Q65(MSC2000)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
2-spheres of square -1 and the geography of genus-2 Lefschetz fibrations
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