Makale detayı · 2000 · article
Minimal number of singular fibers in a Lefschetz fibration
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- YÖKSİS dergi adıProceedings of the American Mathematical Society
- OpenAlexOpenAlex zenginleştirmesi (özet, atıf, konular)
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Özet
There exists a (relatively minimal) genus g g Lefschetz fibration with only one singular fiber over a closed (Riemann) surface of genus h h iff g ≥ 3 g \geq 3 and h ≥ 2 h \geq 2 . The singular fiber can be chosen to be reducible or irreducible. Other results are that every Dehn twist on a closed surface of genus at least three is a product of two commutators and no Dehn twist on any closed surface is equal to a single commutator.
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Yerel katalogda bu makaleye atıf yapan 16 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
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- 2001 #7932929Atıf 53 · OpenAlex
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- 2002 Commutators, Lefschetz fibrations and the signatures of surface bundlesAtıf 22 · OpenAlex
- 2002 Commutators Lefschetz fibrations and the signatures of surface bundlesAtıf 22 · OpenAlex
- 2001 Commutators, Lefschetz fibrations and the signatures of surface bundlesAtıf 21 · OpenAlex
- 2013 Sections of surface bundles and Lefschetz fibrationsAtıf 20 · OpenAlex
- 2013 Sections of surface bundles and Lefschetz fibrationsAtıf 19 · OpenAlex
- 2020 The number of singular fibers in hyperelliptic Lefschetz fibrationsAtıf 3 · OpenAlex
- 2005 On stable torsion length of a Dehn twistAtıf 3 · OpenAlex
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